(c) ∠6 = ∠7 In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. x = 2(180° – x) – 60° In the given figure, line l intersects two parallel lines PQ and RS. Vertically opposite angles are always a: If two lines intersect, then the vertically opposite angles are equal. Vertically opposite angles are either both acute angles or both obtuse angles. (i) vertex is always common, Solution : Solution : \(\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}\) q : a and b are forming a pair of adjacent angles. Complementary angles are those whose sum is equal to 90°. (c) 145° ∴ ∠AOD + ∠AOC = 180° [Linear pair] (i) ∠AOB and ∠BOC; ∠AOC and ∠COD; ∠AOB and ∠BOD; and ∠BOC and ∠COD are adjacent angles. Since, QP || RS and QR is a transversal. NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercise 5.1 and Exercise 5.2 in English Medium and Prashnavali 5.1 and Prashnavali 5.2 in Prashnavali to study online or download in PDF file for offline free to use. Solution: Now, ∠BOC = (x + 5)° = (35 + 5) = 40° Directions: In questions 1 to 41, there are four options out of which one is correct. ∴ ∠2 = ∠6= (34 – b)° ——– (i)[Corresponding angles] From (i) and (ii), we get ⇒ 2x = 180° ⇒ x = 90° \(\Rightarrow x=\frac{180^{\circ}}{5}=36^{\circ}\) and ∠1 = 30°[Vertically opposite angles] ∴ AB || CD. Solution: ⇒ 4x = 90° – 2 = 88° (a) ∠1 + ∠5 = 180° A linear pair may have two acute angles. Its complementary angle must be less than 45°. (b) Since, PQ || ST, then PO will also parallel to ST. Solution : So, their sum will be 90°. ∴ x + 66° = 180° [Co-interior angles] The sum of two supplementary angles is 180°. False Amisha makes a star with the help of line segments a, b, c, d, e and f, in which a || d, b || e and c || f. Chhaya marks an angle as 120° as shown in the given figure and Amisha to find the ∠x, ∠y and ∠z. Question 86. The best feature of these solutions is a free download option. Question 81. Solution: \(\Rightarrow \quad y=\frac{180^{\circ}}{9}=20^{\circ}\), Question 17. (d) Since PQ I RS and line 1 is a transversal. Let A and B are two angles making a complementary angle pair and A is greater than 45° From the above figure, we can say that player 4 has the best kicking angle, as it is greatest. ∴                                       100°+46°+64°+x = 360° Solution : NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles Exercise 5.1 : Solutions of Questions on Page Number : 101 Q1 : Find the complement of each of the following angles: So, the sum of angles forming linear pair is 180°. Corresponding angles are on the_______side of the transversal. Find the measures of the angles. With this article, you will get solutions to all the questions of CBSE Class 7 Maths, Chapter 5 – Lines and Angles. NCERT Class 7 Maths Chapter 5Lines and Angles Notes have been largely compiled by teachers with near to 20 years of experience and after studying the last ten years of examination papers. ⇒ d = 180°- 38° = 142° [Using (i)] Find the complement of each of the following angles: Solution: Complement of the angle 20° = 90° – 20° = 70° Complement of the angle 63° = 90° – 63° = 27° Complement of the angle 57° = … Since, lines l and mare parallel and p is transversal. ∴ ∠3=68° ——– (i) [Corresponding angles] Then, f is equal to Also, PQ || RS and line I is a transversal. . Question 48: \(\Rightarrow a=\frac{50^{\circ}}{5}=10^{\circ}\), Question 27. Question 49: Since, vertically opposite angles are equal. Since, AF || ED and FD is a transversal. (d) 45°, 45°  In the given figure, a=40°. The greater the angle, the better chance the player has of scoring a goal. (a) ∠a = b Solution : NCERT Exemplar Class 7 Maths Book PDF Download Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes Solutions Multiple Choice Questions (MCQs) Question 1: A triangle can be constructed by taking its sides as (a) 1.8 cm, 2.6 cm, 4.4 cm (b) 2 … Directions: In questions 1 to 41, there are four options out of which one is correct. Question 2: ∠2 = ∠3 [Alternate interior angles] Question 44: In the given figure, P, Q and R are collinear points and TQ ⊥ PR, Which player has the best the greatest) kicking angle? (a) Both statements p and q are true. Solution : As two right angles are supplementary to each other. (a) Since, POR is a line. ∴ b + d = 180° [Co-interior angles] ∴ The other angle = 90 – 50° = 40° < 45°. ∴ Let a = 3x and b – 2x If two angles have a common vertex and their arms form opposite rays (figure). 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Get solutions to all NCERT exercise questions and examples of Chapter 5 Class 7 Lines and Angles free at teachoo. 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 (i) b and c Alternate interior angles are on the______side of the transversal. 180°, Question 46. In a pair of adjacent angles, ⇒ 5a – 20° = 180° (b): Since, vertically opposite angles are equal. In this section of, NCERT solutions for class 7 Maths chapter 5 lines and angles, we discuss about some basic properties of triangle. Solution: (c) 30°, 50° Interior angles on the same side of a transversal with two distinct parallel lines are supplementary angles. (b) 75° Solution : Solution : Solution : (c) alternate interior angles In questions 57 to 71, state whether the statements are True or False. Two supplementary angles always form a linear pair. Construct a line l parallel to AB, passing through F. l is parallel to both AB and CD. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. Solution: Solution: In the given figure, ∠AOC and ∠BOC form a pair of Solution: (a) 120° (c) 110° 100° + y = 180 ⇒ y = 180° – 100° = 80° If we add two angles which are less than 90°, we get the result less than 180°, e.g. A line segment has two end points. Find the values of a and b. (c) 150° As, PQ is a straight line. (b) 45° Given that \(\frac{x}{y}=\frac{3}{2}\) Question 100: Solution : (a) 150° False False ⇒ ∠QPR = 130° – 50° = 80°, Question 11. False Solution : Let the two consecutive angles be x and x + 2. (d) ∠AOC and ∠BOC form a pair of supplementary angles. (a) Seven football players are practicing their kicks. Which player has the best kicking angle? Putting value of x in (i), we get (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. 5. ⇒                                                       210°+ x = 360° (a) 95°, 85° Solution: Since, PQ || RT and PR is a transversal. Amisha makes a star with the help of line segments a, b, d, e and f, in which a || d, b || e and c || f. Chhaya marks an angle as 120° as shown in figure, and asks Amisha to find the ∠x, ∠y and ∠z. (d) Since, PQ || RS, line l is a transversal. Solution : ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. (d) supplementary angles We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. Thus, the required angles are 60° and 30°. ∴ The bigger angle is 2x = 2 × 60° = 120°. ⇒ 2x + x = 180° (c) vertically opposite ⇒ ∠PQU = 35° ———- (i) Two angles making a linear pair are always adjacent angles. Hence, following are the pairs of adjacent angles taking 1,2, 3, 4 angles only, (d) 60° (a) 20° ⇒ x + 2x = 300° With the help of it, candidates can prepare well for the examination. So, one is 60° i.e. Question 26. Solution: Solution : (a) 29°                                                          (b) 61 ° Also, the two angles are complementary, so their sum is equal to 90°. Find the value of a + b. Let one angle be 2x + 1, then the other angle is 2x + 3. ∠d = ∠c [Vertically opposite angles] In the given figure (Q.No. Then, AOB will be a straight line and sum of all the angles on a straight line is 180°. Now, a || d and c is a transversal. Two angles forming a _________ pair are supplementary. The drawings below (figure), show angles formed by the goalposts at different positions of a football player. (ii) AB and CD ⇒ ∠2 = 30° ———– (ii) Question 61. Also, AB || CD and EF is a transversal. ∠1 +∠2 = 180° [Angles on a straight line PQ] ∴ ∠PTR – ∠TRU= 42° ——— (i) [Alternate interior angles] (b) 90° Solution: and x – y = 30° ——— (ii) [Given] (b) Now the players are lined up as shown in Fig. ∴ The angles between North and West and South and East are supplementary. ∴                           x + 61° = 180°             [∴ sum of angles forming linear pair is 180°] An angle which is half of its supplement is of______. ⇒ ∠x = 180° – 120° = 60° Question 67: x + 61° = 180° [Linear pair] Solution : Question 110: Two angles making a linear pair are always adjacent angles. In each of the following figures, write, if any, (i) each pair of vertically opposite angles, and (ii) each linear pair. False Then, its supplement will be (180° – x). Two adjacent angles always form a linear pair. Jul 18, 2018 - NCERT Exemplar Problems Class 7 Maths – Lines and Angles 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 angle between North and […] ⇒ y = 180° – 48° = 132° Find ∠AOD. Question 86: Question 73. but ∠2 + ∠3 = 180°, Question 39. Question 27: Obtuse, Question 52. Solution: (c) ∠a + ∠d = 180° Find the angles x and y. Then, its supplement will be (180°-x). 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) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. 45° Solution : A transversal intersects two or more than two lines at distinct points. Since, PQ || RT and RQ is transversal. Question 5. ∴ ∠a = 30° [Using (ii)] Question 22. ∴ Let each angle be x. Solution: (b) corresponding angles Solution : NCERT Exemplar Class 9 Mathematics Chapter 6 Lines and Angles, is provided in pdf format for students to prepare for exams. (e) Since, POQ is a straight line. Solution : NCERT Exemplar ProblemsNCERT Exemplar MathsNCERT Exemplar Science, Kerala Syllabus 9th Standard Physics Solutions Guide, Kerala Syllabus 9th Standard Biology Solutions Guide. Solution: Solution : ∴ a + b = c [Alternate interior angles] ∴ Its complement = 90°- 45° = 45°, Question 56. (c) 20°, 50° Question 3: Given, complement of x° is 79°. ∴ x + 2x = 180° All answers have been explained in a step by step manner with detailed solutions to each and every question.In this chapter, we will learn:What are line, ray, line segmentsWhat arecomple q: a and b are forming a pair of adjacent angles. CBSE Class 7 Maths Worksheet for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. ⇒ a = 180° – 85° = 95°. Thus, m || n as the sum of co-interior angles is 180°. Question 3. \(\Rightarrow a=\frac{200^{\circ}}{5}=40^{\circ}\), Question 14. A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. We are going to share Lines and Angles formulas for class 7, which is help to score in the exam. (c) 72° Solution : Question 91: (b) two pairs of supplementary angles. ⇒ 50° + ∠QPR – 130° Solution : A ray has only one end point (its vertex). ; Question 24: True, Question 63. Question 78. Solution : Iron rods a, b, c, d, e and f are making a design in a bridge as shown in the given figure, in which a|| b, c || d and e|| f. Find the marked angles between Solution : Question 25: Justify your answer. If an angle is 60° less than two times of its supplement, then the greater angle is It is given that x is the half of it supplement i.e. ⇒ 130° = b We know that the sum of the measures of the complementary angles is 90° Solution: In the given figure, ∠ROS is a right angle and ∠POR and ∠QOS are in the ratio 1 : 5. (iv) Adjacent 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. As if both angles are 89° and 89°, even then they cannot make the sum 180°. True 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 […] In the given figure, AB || CD. ∴                                       (90 – x)°= 79° One obtuse angle and one acute angle can make a pair of supplementary angles, e.g. 90°, Question 55. These angles are on the same side of transversal CD. (b) 46° According to question, Solution : Which of the following is false? ∠4 + ∠6 = 180 ∠3 + ∠5 = 180 . Now, CD and EF intersect each other at O. Determine the values of x and y. True, Question 64. (d) both p and q are false We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2, help you. = 264° + 132° = 396°. Solution : ∴ EF || GH, Question 113. ⇒ (6x – 30) = 180 ⇒ 6x – 180 + 30 = 210 Both angles of a pair of supplementary angles can never be acute angles. (c) Since, the angles are complementary. Now, CD is a straight line. (c) 136° Now, PQ || RS and PR is a transversal. Solution: Question 101: ∴ A and bare alternate interior angles. In the given figure, find out which pair of lines are parallel: Write the correct one. ∴ AOB is a straight line. Putting the value of x in (i), we get Get Free NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.1 PDF. Two adjacent angles do not always form a linear pair, but the angles forming linear pair are always adjacent angles. (c) 64° Question 83: We hope the NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles, help you. Four options out of which one ncert exemplar class 7 maths lines and angles the questions of CBSE Class 7 MCQs. 42 to 56, fill in the given figure, line i intersects two or more two... 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