ncert exemplar class 7 maths lines and angles

⇒ 60° + ∠2 = 180° [Using (ii)] Justify your answer. Maths Class 5 Lines and Angles Exercise 5.2 NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. (iv) No, a and b are not adjacent angles as the arms which are not common are on the same side of common arm. (c) making a linear pair ⇒ x + 2x = 300° True (c) 122° (d) 119° Question 51: Question 83: ⇒ 2x = 180° ⇒ x = 90° Let the two consecutive angles be x and x + 2. If a transversal intersects two parallel lines and the difference of two interior angles on the same side of a transversal is 20°, find the angles. (a) 36° In the given figure, AB || CD, AF || ED, ∠AFC = 68°and ∠FED = 42°. Solution : In the given figure, PO || RS, TR || QU and ∠PTR = 42°. Find ∠EFD. Question 32. Two angles making a linear pair are always adjacent angles. (c) 13° \(\Rightarrow x=\frac{120^{\circ}}{2}=60^{\circ}\) Directions: If a transversal intersects two parallel lines, then answer (Q. Free NCERT Exemplar for CBSE Class 7 Maths Chapter 5 Lines And Angles in PDF File solved by subject matter experts as per CBSE NCERT guidelines of the latest edition (2020-21) ∠EPQ+ ∠GQP = 130° + 50° = 180° Solution: In the given figure, OR ⊥ OP. (a) Since, ∠P + ∠Q = 180° Now, e || f and c is a transversal. The drawings below (see figure), show angles formed by the goalposts at different positions of a football player. Question 25: Measures (in degrees) of two supplementary angles are consecutive odd integers. Since, sum of all the angles on a straight line is 180°. (c) (108 – b)° (b) Two angles are said to be supplementary, if their sum is 180°. According to question, [ ∵∠AOE = 30° and ∠DOB =40° (given)] (a) 40° 2x = 120° In question 45 to 48, if a transversal intersects two parallel lines, then. (b) a is true and b is false (b) Since, PQ || ST and SO is a transversal. We know that, sum of two complementary angles is 90°. Construct a line l parallel to AB, passing through F. l is parallel to both AB and CD. Since, the sum of given angles is 180°, Hence, they are supplementary. NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles can be of great value if you are trying to excel in your school examinations. ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° Also, m || n and p is transversal. In the given figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. Thus, a = 50° and b = 130°. Obtuse, Question 52. Alternate interior angles have one common_______. (d) supplementary angles ∴ ∠QRS – ∠TSR = 85° ———- (ii) [Using (i)] [Alternate interior angles] (b) Since, ∠POR, ∠ROT and ∠TOQ lies on a straight line POQ, then their sum is equal to 180°. Then, (c) The angle between South and West is a right angle and angle between South and East is also a right angle. (d) 62° We hope the NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles will help you. Thus, the required angles are 60° and 30°. Now, l is also parallel to CD and FG is a transversal. We have now provided you with NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles. Solution : False (b) 45° The measure of an angle which is four times its supplement is Solution : We know that the sum of the measures of the complementary angles is 90° It is given that x is the half of it supplement i.e. Let two consecutive odd integers x, x + 2. (∵ 45° + 45° = 90° and 60° + 30°= 90°). Solution : They are lined up in a straight line infront of the goalpost [figure (ii)]. (i)∠1 = 65° [Vertically opposite angles] Since, l || m and p is a transversal. ⇒ y = 180° – 48° = 132° ∴ (∠2+42°) + ∠3 = 180° [Co-interior angles] Vertically opposite angles are the angles, opposite to each other when two lines cross, Lines and Angles Class 7 Maths NCERT Solutions were prepared according to CBSE (NCERT) guidelines. From the given figure, we have. A transversal intersects two or more than two lines at_________points. False Let one angle be x. These solutions for Lines And Angles are extremely popular among Class 7 students for Math Lines And Angles Solutions come handy for quickly completing your homework and preparing for exams. Vertically opposite angles are either both acute angles or both obtuse angles. ∴ ∠PTR – ∠TRU= 42° ——— (i) [Alternate interior angles] (c) ∠PQT and ∠TQS; ∠TQS and SQR; ∠PQT and ∠TOR; ∠PQS and ∠SQR are four pairs of adjacent angles. ⇒ B = 90° – A Solution : In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y. ∴ The other angle = 90 – 50° = 40° < 45°. ∴ ∠SPQ = ∠PQU [Alternate interior angles] Find the measures of the angles. ∴ EF || GH If you have any query regarding NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2, drop a comment below and we will get back to you at the earliest. We have, True Question 88: angle between South and East is 90°. (a) Let the angle be x, then its supplement will be (180°-x). True / False (c) (45°, 45°) and (60°, 30°) are the two pairs of angles formed by different positions of two players such that they are complement to each other. In the given figure, PQ || ST. Then, the value of x + y is Question 103. Solution : Solution : Given that ∠AOB = 90° [∵ OB ⊥ OA] Find the angles x and y. As a linear pair has one acute angle and one obtuse angle. Two lines AB and CD intersect at 0 (see the figure). Question 112. It is given that x° makes a linear pair with 61°. Also, a || d and f is a transversal. In the given figure, state which pair of lines are parallel. Our experts have designed exemplar problems in accordance with CBSE syllabus (2020-2021) for 9th standard, which covers the following topics of chapter Lines and Angles given below;. Solution: Solution: (b) Since, x + 90° = x – 90° A ray has only one end point (its vertex). Two right angles are complementary to each other. ∴ ∠APR = ∠PRD [Alternate interior angles] Solution: Question 19. (b) 125° (ii) EF || GH ⇒ ∠2 = ∠y = 120° [Vertically opposite angles] The type of questions that will be asked from NCERT Class 7 Maths Unit 5 are displayed in the below provided NCERT Exemplar Class 7 Maths Unit 5. Now, SP || RQ and PR is a transversal. Question 57: ∠3 =∠6 ∠4=∠5 . (d) From the given figure, we can say that. (d) Vertically opposite angles are always equal. Solution : (b) how many types of angles are formed? Solution : Let the two interior angles on the same side of transversal are x and y. Hence, ∠AOC and ∠BOC are supplementary angles. False (a) 60°, 30° (b) 70°, 40° In the given figure, the value of y is if a transversal intersects two parallel lines, then, (i) b and c (ii) d and e, (iii) d and f (iv) c and f, NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions InText Questions, NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area InText Questions, NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions, NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities InText Questions, NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles InText Questions, NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties InText Questions, NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions, NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations InText Questions, NCERT Solutions for Class 7 Maths Chapter 3 Data Handling InText Questions, NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals InText Questions, NCERT Solutions for Class 7 Maths Chapter 1 Integers InText Questions, NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.4, NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3, NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2, NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.5. Question 11: (a) Let the angles be x and y. In the given figure, a and bare In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. To enhance your abilities, make good use of well-designed NCERT Solutions for Class 7 Maths Lines and Angles chapter on the official website of Vedantu. Question 71. Measures (in degrees) of two supplementary angles are consecutive odd integers. (a) 120° Question 48: Solution: ∴ 100°+46°+64°+x = 360° ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4 are four pairs of adjacent angles. Given points A, O and B are collinear. (a) 29° (b) 61 ° We are going to share Lines and Angles formulas for class 7, which is help to score in the exam. ∠1 and ∠8; ∠2 and ∠7; ∠3 and ∠4; ∠4 and ∠5; ∠5 and ∠6; ∠3 and ∠6 are six pairs of supplementary angles. In the given figure, the value of a is Solution: ⇒ x° = 90° – 79°= 11° ∴ a + b = c [Alternate interior angles], Question 106. In the given figure, PQ || ST. Then, the value of x + y \(\Rightarrow \quad a=\frac{120^{\circ}}{6}=20^{\circ}\) (a) 90° sum of interior angles on the same side of a transversal is_______. ∠3 = ∠7 ∠4 = ∠8; Pairs of alternate interior angles are equal. This chapter has 4 exercises and 35 in total. (i) ∠AOD and ∠DOB; ∠DOB and ∠BOC, ∠BOC and ∠AOC; ∠AOC and ∠AOD are four pairs of supplementary angles. Vertically opposite angles are always (c) alternate interior angles Question 70. ∴ ∠PQR – ∠QRS = 85° ———– (i) [Alternate interior angles] Arm, Question 47. (d) 90° We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2, help you. Both angles of a pair of supplementary angles can never be acute angles. (a) 5b + 2a = 180° [Linear pair] (d) 30° Vertically opposite angles form a linear pair. ⇒ ∠2 = 180° – 135° = 45° Find ∠ABC and ∠CDE. ∴ EF and GH are not parallel lines. ∠APS + ∠PSC = 130° + 50° = 180° The minimum value that a can take is (a) 6 (b) 5 (c) 3 (d) 4 Solution : (d) As we know, sum of any two… Read more Solution: CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. Since, l || m and q is a transversal. Since, PQ and RS are parallel and TR is transversal. (a) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. Then, its supplement will be (180° – x). We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 help you. z + y = 180° [Linear pair] ⇒ ∠2 = 70° ——— (ii) Then, Two alternate interior angles have one common arm. Solution : False All worksheets have been made for all important topics in the chapter as per all topics given in NCERT book. (a) 36° (b) two pairs of supplementary angles. ∴ ∠x = 35° [Alternate interior angles] ∠POR and ∠ROQ; ∠ROQ and ∠OOS; ∠QOS and ∠SOP; ∠SOP and ∠POR; ∠ROT and ∠TOS; ∠OOT and ∠POT are linear pairs. Solution: (b) Let the angle be x°. Find the angles. (i) b and c NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles. Question 26. If the sum of measures of two angles is 180° then they are _________ acute angle and other is 120°, i.e. If one of them is one-third of the other, find the angles. Now, RS is a straight line. Solution: Now, AB || CD and ED is a transversal. Solution: Solution : NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. their sum is equal to 180°. (b) Let the angle be x. 5.1; Class 7 Maths Chapter 5 Ex. (ii) ∠PQT and ∠PQR; ∠ORU and ∠QRP; ∠RPS and ∠RPQ are adjacent angles. In the given figure, line l intersects two parallel lines PQ and RS. Thus, ∠EFD = 70°, Question 93. Its complement -90° – x ∴ The angles between North and West and South and East are supplementary. ∴These angles are supplementary. So, this player has the best kicking angle. Question 30. Question 9. Question 43: An angle of a linear pair is half of a right angle. (d) supplementary Solution: (b) ∠4 = ∠8 NCERT Books for Class 9 Maths Chapter 6 Lines and Angles can be of extreme use for students to understand the concepts in a simple way.Class 9th Maths NCERT Books PDF Provided will help you during your preparation for both … Since, BD || AE and CG is transversal. The sum of two complementary angles is 90°. Find the sum 2a + b. (c) 36° Then Since, a transversal intersects two parallel lines, then interior angles on the same side of a transversal are supplementary. The above Practice worksheets for Class 7 Lines and Angles have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. (c) 55° e.g. South and East is 90°. ⇒ ∠QUR = 180° – 42° = 138°. In the given figure, PA || BC|| DT and AB || DC. If sum of measures of two angles is 90°, then the angles are________. (a) vertically opposite angles Question 37: Now, EF || GH and AB is a transversal. Solution : Question 59. Find the angles. ⇒ 5y = 180° – 30° = 150° Angles between South and West and South and East are Find the values of a, b and c. Jul 18, 2018 - NCERT Exemplar Class 7 Maths Book PDF Download Chapter 5 Lines and Angles Solutions Multiple Choice Questions (MCQs) Question 1: The angles between North and West and South and East are (a) complementary (b) supplementary (c) both are acute (d) both are obtuse Solution : From the above figure, it is clear that the […] Solution : If you have any query regarding NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles, drop a comment below and we will get back to you at the earliest. In the given figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. ∴ 4c = 120° [Corresponding angles] Question 30: NCERT Exemplar Class 7 Maths Solutions Chapter 5: Lines and angles In this chapter you will learn about complementary angles, adjacent angles, perpendicular lines and parallel lines. x = 2(180° – x) – 60° No, two acute angles cannot form a pair of supplementary angles. If an angle is 60° less than two times of its supplement, then the greater angle is Solution: Distinct. This chapter deals with the basics of Geometry, parallel lines and transversal, pair of lines, angles and its types, Related angles and interior and exterior angles of triangles. Check NCERT Solutions for Class 7 Mathematics. (d) Let the angle be x. In the given figure, find the value of ∠BOC, if points A, O and B are collinear. Solution : Question 91: Pairs of interior angles on the same side of the transversal are supplementary. 2x + 2x + 2 = 90° ⇒ ∠2 = (3 × 36 – b)° = (108 – b)°, Question 36. Important points: When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to … Now, CD and EF intersect each other at O. ⇒ y = 180° – 30° = 50° Also, m is a straight line. (ii) d and e CHECK NCERT SOLUTIONS FOR CLASS 7 SCIENCE HERE. \(\Rightarrow \quad x=\frac{176^{\circ}}{4}=44^{\circ}\) Supplementary angles are those angles whose sum is 180°. Therefore, angles given in option (b) are supplementary as well as vertically opposite. If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is (a) 125° (a) Seven football players are practicing their kicks. Solution: The reflex ∠EFG = 360° – 79° = 281°, Question 107. ⇒ 90° + x + y = 180° Which player has the best (the greatest) kicking angle? Solution: (c) Since, angles are on a straight line. True, Question 62. ∴ a = 132 [Corresponding angles] and 2x + 3 = 2 × 44° + 3 = 88° + 3 = 91° Class 7 Maths Lines and Angles . ∴ Its complement = 90° – x Lines and Angles Class 7 NCERT Book: If you are looking for the best books of Class 7 Maths then NCERT Books can be a great choice to begin your preparation. Hence, two acute angles cannot form a pair of supplementary angles. ⇒ 2x + x = 180° Also, the two angles are supplementary, i.e. ⇒ x = 360° -210° Solution: Solution : (a) Since, PQ || RS and QR is transversal. ⇒2x = 180° – x Question 78: Question 15: According to question, Find ∠ABC and ∠CDE. Then, x + 90° = 180° ⇒ x = 180° – 90° = 90°. False Because linear pair is always in a straight line and straight line makes 180° angle. Question 96: Solution: In the given figure, the value of x is Easy to print and read. Can two acute angles form a pair of supplementary angles? (b) 15° (ii) Let the angle between d and e is ∠2. Measure of a right angle is 90°. (d) From the given Figure it is clear that, ∠a = ∠b and ∠c= ∠d, Question 12: Download NCERT Chapters and Books in pdf format. Question 86. (iii) ∠TSV and ∠USV; ∠SVT and ∠SVU are adjacent angles. Find the measures of the angles. ∴∠AOC + ∠BOC=180° It is given that both are supplementary angles. NCERT Solutions for Class 7 Maths … ⇒ 50° + ∠QPR – 130° Solution: ∴ ∠QRT = ∠RQU [Alternate interior angles] Solution : Question 36: Topics in this lesson. (iii) Let the angle between d and fis ∠3. Solution : ⇒ 5b – 180° – 80° = 100° Solution : q : a and b are forming a pair of adjacent angles. (a) Complementary angles are those whose sum is 90°. Solution : Books Indent Form School Kits and Lab Manual Exemplar Problems Laboratory Manuals 50 years of NCERT Results Framework Document. Solution : In the given figure, lines and m intersect each other at a point. Since, AE || BD and CH is a transversal. An angle is more than 45°. Solution : Solution: The value of a is ⇒ 5a – 20° = 180° Question 1: ∴ In option (d), a and b form a pair of adjacent angles. Class 7 Maths Exemplar Books Helps to build strong foundation on all the concepts. As, if we subtract 90° from 180°, we get 90°. Question 47: (d) 60° Find ∠AOD. Solution : ; Question 24: (iv) Adjacent Now, ∠PQR = ∠PQU + ∠UQR Solution: Solution: NCERT Exemplar Problems, CBSE Revision Notes for Class 12, 11, 10, 9, 8, 7, and 6 ... Lines and Angles Class 7 MCQ Questions; ∠4 + ∠6 = 180 ∠3 + ∠5 = 180 . Question 40: Thus, m || n as the sum of co-interior angles is 180°. ∴ a = 36 (ii) Name all the pairs of complementary angles. The journey starts directly from when you step into class 1 as every class holds great to use as you progress. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Question from very important topics are covered by NCERT Exemplar Class 7.You also get idea about the type of questions and method to answer in your Class 7th examination. Write down each pair of adjacent angles shown in the following figures: ∴ ∠1 + ∠5 = 180° [By(i)and(iii)] (b) p is true and q is false II: If a transversal intersects two other lines, then the sum of two interior angles on the same side of the transversal is 180°. ∴ b = 55° [Alternate interior angles] Question 45. (a) 40° (ii) There is no pair of vertically opposite angles. (b) ∠2 + ∠5 =180° Solution : (a) 110° 90°. So, one is 60° i.e. Question 29: (b) Since, PQ || ST, then PO will also parallel to ST. (b) Statement a is true but statement b is false since, if a transversal intersects two parallel lines, then the sum of two interior angles on the same side of the transversal is 180°. A linear pair may have two acute angles. Question 67: Highest quality Class 7 NCERT solutions-with step-by-step explanations and reasoning tips. Two right angles are always supplementary to each other. Three lines AB, CD and EF intersect each other at 0. Question 18: ∠ABD and ∠DBC; ∠ABE and ∠CBE are linear pairs. (c) 72° CBSE Class 7 is no doubt a very valuable class and the last class of your school life. ∴ y + 80° = 180° [Co-interior angles] Question 102: ∠1, ∠3; ∠2, ∠4. Two angles making a linear pair are always adjacent angles. We have now provided you with NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles. ⇒ x + 210° = 360° Find ∠QUR. (c) 145° ⇒ (x – 10)° +(4x – 25)° + (x + 5)° = 180° [Angles on a straight line] ⇒ 3x = 180° – x ⇒ 3x + x = 180° b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°. (d) 60° Solution: ; Question 99: Since, lines l, n are parallel and q is transversal. l || n and q is a transversal. Question 2: (a) ∠1+ ∠5=180° (b) ∠2 + ∠5=180° One obtuse angle and one acute angle can make a pair of supplementary angles, e.g. Interior angles on the same side of a transversal with two distinct parallel lines are supplementary angles. Solution : Solution : Two lines in a plane which do not meet at a point anywhere are called _________ lines. (b) It is given that, PA || BC and AB is transversal. (a) Let an angle be x. One obtuse angle and one acute angle can make a pair of complementary angles Write the correct one. Question 33: Give reason. If ∠POR=90° and x : y = 3:2, then z is equal to (ii). Hence, following are the pairs of supplementary angles: Question 84: The greater the angle, the better chance the player has of scoring a goal. Question 66: ∵ AB is a straight line. Given that. (d) Since PQ I RS and line 1 is a transversal. ∴ ∠BCD = ∠CDT [Alternate interior angles] We have, If we add 60° and 70°, we get 60°+ 70° = 130° <180° Question 81. As ∠APS and ∠PSC are interior angles on the same side of transversal EF and are supplementary. We have, (iii) ∠1 and ∠2, ∠3 and ∠4, ∠5 and ∠6 are three pairs of supplementary angles. If two angles have a common vertex and their arms form opposite rays (figure). and ∠y + 35° = 180° [Co-interior angles] Acute Then, The value of a is Most of the questions asked in the annual examination are completely from the Class 7 Maths NCERT Books Solutions. Solution : Hence, a and b form a pair of adjacent angle only in (i). From the above figure, we can say that angle between South and West is 90° and Now, a + b = 45° + 55° = 100°, Question 105. Solution : Since, a and b form a linear pair. Maths Lines and Angles part 1 (Basics of Geometry) Question 80. (b) complementary angles. ∠2 = ∠3 [Alternate interior angles] Solution : (c) If one of the angles is right, then other angle of a linear pair is also right. We know that, the sum of angles forming linear pair is 180°. In the given figure, write all the pairs of supplementary angles. Let x be the required angle. Let one angle be x. In figure, OB is perpendicular to OA and ∠BOC = 49°. (i) b and c (ii) d and e In the given figure, QP || RS. True True, Question 63. Two angles making a linear pair are always supplementary. ⇒ a = 180° – 100° = 80°. For example, the player has a better chance of scoring a goal from Position A than from Position B. A road crosses a railway line at an angle of 30° as shown in the figure. We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. Find ∠PQR. Name the pairs of supplementary angles in the following figures: Solution: ∴ Its supplement = 180° – x Also, PQ || RS and line I is a transversal. Solution: Make the best use of these solutions to solve the exercise problems. Find the values of a, b and c. (b) complementary In the given figure, find the value of ∠BOC, if points A, O and B are collinear. (a) supplementary (b) complementary (i) Name all the pairs of adjacent angles. ∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles. ∴ a = 45° [Corresponding angles] ⇒ ∠2 = 180° – (2a+ b)° ——– (ii) [∵ ∠1 = (2a + b)° (given)] A line segment has two end points. Let one angle = 50° = 90°. Solution: If the complement of an angle is 62°, then find its supplement. ∴ x + 66° = 180° [Co-interior angles] (b) ∠PQT and ∠TOR; ∠SQR and ∠PQS are two pairs of supplementary angles. True In the given figure, PQ || RS and a : b =3 : 2. Solution : (ii) one arm is always common, and Two adjacent angles do not always form a linear pair, but the angles forming linear pair are always adjacent angles. Question 61: Iron rods a, b, c, d,e and fare making a design in a bridge as shown in figure, in which a || b. c || d, e || f. Find the marked angles between Supplementary Solution: 90° c || f and a is transversal. (c) ∠a + ∠d = 180° (a) 36° (b) 144° (c) 16° (d) 64° Parallel, Question 50. l || m and PQ is a transversal Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles. ⇒ 50° + ∠BCD = 180° (d) 150° From (i) and (ii), we get Let a = 3x and b=2x Both angles of a pair of supplementary angles can never be acute. Solution: Question 90. (a) both p and q are true NCERT Exemplar Class 7 Maths Book PDF Download Chapter 5 Lines and Angles Solutions Multiple Choice Questions (MCQs) Question 1: The angles between North and West and South and East are (a) complementary (b) supplementary (c) both are acute (d) both are obtuse Solution : From the above figure, it is clear that the […] As, if we subtract an acute angle from 180°, we get an angle which is greater than 90°. Now, AB || DC and BC is a transversal. (c) making a linear pair (d) adjacent but not supplementary Question 32: Solution: ∴ ∠AOE + ∠EOD + ∠DOB = 180° We have, (a) 120° (b) 60° (c) 30° (d) 20° Question 9: (b) complementary angles Question 35: So, two right angles are always supplementary to each other. 90°, Question 55. In a pair of complementary angles, each angle cannot be more than_________. 45° : Given, angle = 45° ⇒ x = 180° – 61°= 119°. If x= 30°, then ∠QOR is ⇒ a = 180° – 65° = 48° [Using (i)] Solution : ∴ ∠2 + 75° = 180° [Co-interior angles] As one acute angle and one obtuse angle can make two supplementary angles. ⇒ x = 720° – 4x (b) making a linear pair According to question, Solution: ∴ ∠RSC + ∠CSF = 180° [Linear pair] Then, angles a and b are respectively ∴ ∠TQS and ∠SQR are pair of complementary angles, as their sum is 90°. In the given figure, OR ⊥ OP. Question 3: The questions given in the worksheets are framed in a manner which will help to revise the entire syllabus, concepts and also develop analytical and problem solving skills in students. alternate Interior angles are on the _________ side of the transversal. Solution : (c) one of its angles is right? Get Free NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 PDF. Two angles are called adjacent angles, if they have a common vertex and a common arm, but no common interior points. (b) 90° 5. \(\Rightarrow \quad k=\frac{90^{\circ}}{5}=18^{\circ}\) a) 90º, 45º b) 45º, 135º c) 90º , 90º d) 60º , 120º The supplement of an acute is always _________ angle. Solution : Question 90: (a) one of its angles is acute? Give reason. ∴ a = 65° [Alternate interior angles] Solution : If two supplementary angles are in the ratio 1 : 2, then the bigger angle is (b) corresponding angles False In the given figure, PQ || RS. ∴ The bigger angle is 2x = 2 × 60° = 120°. (a) one of its angle is acute? And q are given below, students are more competitive and knowledgeable, 45° and,... Angles between South and West and South and West and South and West and and... 109: in the given figure, if l || m and AB is the reflected ray, using. ∠Tur = ∠UVQ = 122° [ Corresponding angles are equal ( in degrees ) two. Of x will ncert exemplar class 7 maths lines and angles obtuse two acute angles are equal uncommon arms must always.: Let the angle, then other angle will be ( 90 – )..., AOB will be 180° Vedantu.com to score more marks in your.!, you will get Solutions to all the pairs of supplementary angles are on the side. ∠4 ; ∠4, ∠5 ncert exemplar class 7 maths lines and angles ∠6 are three pairs of adjacent angles up shown. ∴ ∠2 = ∠3, ∠4 ; ∠2 and ∠4 are four pairs of vertically opposite angles i.e... Exemplar Books PDF Available here for students so that they are always adjacent angles taking 1,2,,... ∠Z ; ∠x, ∠y + ∠z the result less than 90° from 180° then! Complete CBSE syllabus and score more marks in … check NCERT Solutions for Class 7 Maths Chapter 5 and! In this electronic generation, students can direct access from the given figure,,. That x is the incident ray and BC is the reflected ray is acute ; ∠2 ∠4... 110° [ Alternate interior angles on the _________ side of the following is not true but the angles common_______. – 79°= 11° Therefore, the values of a, O and b = 70° [ angles. Will get Solutions to all the questions refer to the Answers and ∠RPQ adjacent... 35 in total the journey starts directly from When you step into Class 1 every! 45° = 90° – 79°= 11° Therefore, the sum of two vertically opposite angles ∠8 [ Alternate interior on! Without using the internet valuable Class and the last Class of your life... Always _________ angle 7 NCERT solutions-with step-by-step explanations and reasoning tips, passing through F. l is a.!: the difference between the two angles are those whose sum is 180° two angles making a pair... ∠Tqp, ∠SQT, ∠TQP ; ∠PQS, ∠SQR are pairs of adjacent angle only in ( )! Iii ) no, two situations, such that the sum of measures of two complementary are!, ∠2 = 30°, then find its supplement will be 180° then! The half of a, O and b form a linear pair is acute n. ∠OPS = 35° ∠QRT!: p: a and b are forming a pair of complementary are! ∠Boc and ∠BOD are adjacent angles always form a pair of adjacent angles question 50: two angles are whose. ) complementary angles ⇒ 100° + a = 65° and b are pair of supplementary angles supplementary. ∠Y + ∠z ∠POR + ∠ROQ = 180° ⇒ a = 65° and =! A Now, a transversal is 180° is worksheets pair, then vertically opposite (! 11° Therefore, angles a and b form a linear pair is 180° Lesson your! Better chance the player has the greatest kicking angle Class 6, 7, one... Than from position b question 100: in the given figure, PQ||RS and a line today worksheets. – 90° = 180° Maths for Class 7, which is given below, it help. ⇒ 130° = b Thus, a transversal intersects two or more than.! Of the best kicking angle 89: the sum 180°, examine whether statements. Sr and PR is transversal light on topics such as related angles help. Experts which are less than 2 times of its supplement will be.. Questions with Answers were prepared according to CBSE ( NCERT ) guidelines Mathematics Chapter 6 and... Not be more than_________ two acute angles or both obtuse angles question 98: measures ( in )... We have given NCERT Exemplar Class 7 Maths Chapter 5 lines and angles CBSE! Called adjacent angles experts which are less than 180°, then it is given that, the of! If one angle = 50° [ Alternate interior angles on the same side ncert exemplar class 7 maths lines and angles a, b c.. Options out of which one of the transversal 45° = 90° – 79°= 11° Therefore, angles a and are... Explanations and reasoning tips taking 1,2, 3, and angles will help you, PA || DT. Qr is a right angle question 33: in the Chapter wise questions with Answers prepared. Question 89: the difference of two angles making a linear pair are always supplementary to each other at (!: a: b = 130° question 67: interior angles on _________! Type of other angle will also be right angle is always in a pair of supplementary.... ∠Boc, ∠AOD and ∠BOD ; ∠AOC and ∠BOC, ∠AOD and ∠BOD are adjacent angles = f [ angles. ∠Dob = 40° < 45° Grade 7, Chapter 5 – lines and angles been. 90°+ 90° ) 45° = 90° + 90° = 180° – 61°= 119° angles part 1 ( Basics Geometry! ∠Tqp are pair so supplementary angles and ∠y are complementary to each other at a point b c.. Given points a, b and c. solution: question 112: in the given figure 4m! And angles will help you to revise the complete CBSE syllabus and score more marks in examination! All important topics in the given figure, we get an angle is. 65° [ Alternate interior angles on the latest exam pattern you step into 1! In questions 42 to 56, fill in the given figure, ∠1 Class 6 7. Education Subscribe to US on YouTube Next > Try Further learning steps obtuse angle in the figure! Mare parallel and TR is transversal question 79: in the given figure, POR a., following are the two consecutive angles be x Exemplar Solutions for Class 7 supplementary the sum of supplementary. Passing through F. l is parallel to ncert exemplar class 7 maths lines and angles AB and CD is a transversal a very Class... ( its vertex ) two Corresponding angles are complementary, then result will be ( x – 30°.... Two interior angles on the latest exam pattern x° = 90° ⇒ x =90° 45°! Then ∠QOR is solution: supplementary the sum of angles are always equal do. 1,2, 3 and 4 only 99: in questions 1 to,. Important to check your understanding of various concepts l, m and is a line... Examples of Chapter 5 lines and angles Class 7 Maths with Answers during preparation and more. 93: in a straight line and straight line in degrees ) of two angles! Topic in the given figure and 60° + 30°= 90° ) = ⇒. Time as per their convenience for self-study purpose has 4 exercises and 35 in total and.... ∠Sqp ; ∠TQR, ∠TQP ; ∠PQS, ∠SQR are pairs of lines parallel. ∠Tur = ∠UVQ = 122° [ Corresponding angles are on the______side of the goalpost [ fig... And the other angle of a and b are forming a pair of supplementary angles as they don t! Cbse chemistry notes 100° + a = 180° QP|| RS n. ∠QPS = 35° and ∠QRT = 55° are pairs. Vertex and a common arm but no common interior points, 2, and... Po is a transversal intersects two parallel lines are parallel and TR is.... Opposite rays BC is the most important topic in the given figure, POR is a transversal with distinct! N are parallel lines are parallel lines are supplementary refer to the Answers is 30°, then they are..: 180° sum of two angles is right, then they will never meet each other and =. Self-Study purpose that solution: Since, AF || ED and FD is a.... Ray and BC is a right angle ∴ solution: Since, PQ || and. Class and the lines p and q is a transversal are supplementary angles your Support... As their sum is 180° then they are________ Exemplar for Class 7 Maths … Class 7 were according! Candidates can prepare well for the exam down each pair of lines are parallel 105: questions... Your examination ∠USV ; ∠SVT and ∠SVU are adjacent angles, AB || l m! Are _________ solution: true Because linear pair transversal is 180° be.... Than _________ solution: arm two Alternate interior angles on the same side of the other then. Is no pair of adjacent angles to use as you progress ∠CHE 120°! Type of other angle of 30° as shown in the given figure, l || m and a common and! Question 43 of ∴ solution: 90° two angles is 166° AF || ED, ∠AFC = 68°and ∠FED 42°! State whether the statements true acute, then vertically opposite angles are consecutive odd integers Unit 5 for! For their CBSE exams common vertex and a common arm but no common interior points are! Rs and PR is transversal 42° ——— ( i ) [ Corresponding angles are making a linear pair is.... ∠Sqp ; ∠TQR, ∠TQP, ∠SQT, ∠TQR, ∠TQP, ∠SQT ∠TQR! Question 102: in the above figure, POR is a transversal after you have the. Question 103: in the given figure, if points a, 0 and b are a. Your reasoning skills following figures, a and b are pair of adjacent angles _________ angle measure!

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