Justify your answer. (i) EF and GH Find the angles. Thus, a = 20°, b = 40° and c = 30°, Question 109. ∴ x = 85° [Altemate interior angles] 3k + 2k = 90° ⇒ 5k = 90° We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. ∴ ∠1 = 30° ——– (i) [Corresponding angles] Thus, a = 67° and b = 48°, Question 102. (a) Since, ∠P + ∠Q = 180° Thus, the required angles are 60° and 30°. Thus, one angle is 45° and other is 180° – 45° = 135°, Question 98. Question 7. (c) 20°, 50° their sum is equal to 180°. a and b are on the opposite side of transversal l. ∠4 + ∠6 = 180 ∠3 + ∠5 = 180 . 60°: Let the angle be x. Directions: In questions 42 to 56, fill in the blanks to make the statements true. Question 9. A line segment has two end points. Question 32: Solution : Solution: (c) four pairs of adjacent angles. In the given figure, find out which pair of lines are parallel: Solution : (c) 100°, 80°                                                (d) 45°, 45° In the given figure, a = 40°. (c) adjacent Solution : Solution: Complementary Solution : Angles between South and West and South and East are  In the given figure, a=40°. Maths Lines and Angles part 1 (Basics of Geometry) ⇒ x + y = 180° – 90° = 90° Find the angles x and y. Solution: ⇒ x + x = 180° [∵Angles are supplementary] Hence, a and b form a pair of adjacent angle only in (i). In the given figure, PQ, RS and UT are parallel lines. (c) Draw a line l parallel to QP. (d) 75° \(\Rightarrow x=\frac{300^{\circ}}{3}=100^{\circ}\) The above Practice worksheets for Class 7 Lines and Angles have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. Question 32. (d) 60° True Complementary, Question 43. (b) corresponding angles (d) 120° (d) both p and q are false Now, a + b = 45° + 55° = 100°, Question 105. (b) supplementary \(\Rightarrow \quad x=\frac{176^{\circ}}{4}=44^{\circ}\) (b) 125° Question 29. With the help of it, candidates can prepare well for the examination. (d) Since, x – 10° + 190°- x = 180° Solution : (b) complementary (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. If angle is acute angle, then its supplement will be an obtuse angle. ∴ x = 110° [Alternate interior angles] Also, if two angles are vertically opposite, then they are equal. In the given figure, a and b are = (x-x) + (190°-10°)=0 + 180°= 180° In the given figure, examine whether the following pairs of lines are parallel or not. 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. Question 70. Check NCERT Solutions for Class 7 Mathematics. but ∠a ≠ ∠d, Question 12. In the given figure, OR ⊥ OP. Question 80. According to question, Fill in the blanks An angle of a linear pair is half of a right angle. (b) It is given that, PA || BC and AB is transversal. 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, l || m and is a transversal. Now, AB || DC and BC is a transversal. Question 90. Question 61: (b) Since, ∠POR, ∠ROT and ∠TOQ lies on a straight line POQ, then their sum is equal to 180°. (c) vertically opposite (a) Since, PQ || SR and RP is a transversal A linear pair may have two acute angles. (d) both a and b are false (d) 135° Adjacent angles: ∠x, ∠y; ∠x + ∠y, ∠z; ∠y, ∠z; ∠x, ∠y + ∠z. Solution : Solution : Acute, Question 54. Two lines AB and CD intersect at O (see figure). Question 20: All the solutions of Lines And Angles - Mathematics explained in detail by experts to help students prepare for their CBSE exams. Thus, ∠EFD = 70°, Question 93. Directions: In questions 1 to 41, there are four options out of which one is correct. In parts (a) and (b) given below, it may help to trace the diagrams and draw and measure angles. Highest quality Class 7 NCERT solutions-with step-by-step explanations and reasoning tips. In the given figure, PA || BC || DT and AB || DC. (b) ∠d=∠c (c) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. NCERT Exemplar for Class 7 Maths Chapter 5 with Solutions by Swiflearn are by far the best and most reliable NCERT Exemplar Solutions that you can find on the internet. (a) ∠1 = ∠5                (b) ∠4 = ∠8 (c) ∠5 = ∠8                   (d) ∠3 = ∠7 Give reason in support of your answer. Question 57: False (d) We have, Solution : (a) 40° Solution: (d) 22.5° Solution: Linear (a) 95° ⇒ 42° + ∠QUR = 180° [Using (i)] A line segment has two end points. False Also, AB || DF and BD is a transversal. Statements (I) and (II) are as given below: (d) 154° ∴ a and b are pair of adjacent angles and form a linear pair. An angle which is half of its supplement is of______. (d) Vertically opposite angles are always equal. Then, sum of two right angles will be (90°+ 90°) = 180°. ∴ ∠3=68° ——– (i) [Corresponding angles] Solution: Note Sum of the complementary angles is 90°. The supplement of an obtuse angle is always an acute angle. The supplement of an acute angle is always_________angle. Free NCERT Exemplar for CBSE Class 7 Maths Chapter 5 Lines And Angles Angles And Its Types 1 in PDF File solved by subject matter experts as per CBSE NCERT guidelines of the latest edition (2021-22) NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles are part of NCERT Exemplar Class 7 Maths. NCERT Exemplar Class 7 Maths Unit 5 Lines and Angles. 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. Solution : With this article, you will get solutions to all the questions of CBSE Class 7 Maths, Chapter 5 – Lines and Angles. (b) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. Two angles making a linear pair are always supplementary. You can find NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercise 5.1 here that will be helpful in knowing the important points and formulas given in the exercise. Complementary angles are those whose sum is equal to 90°. (e) Since, POQ is a straight line. Now, 2a + b = 2 × 132° + 132° Find ∠EFD. So, their sum will be 90°. Find the values of a, b and c. Class 7 Maths Lines and Angles . Then,             x + 90° = 180° ⇒ x = 180° – 90° = 90°. Copies of these textbooks may be downloaded and used as textbooks or for reference. What is the type of other angle of a linear pair if Perpendicular lines: the right angle between two lines Question 40: (b) We know that angle of incident and angle of reflection is same. I: If two lines intersect, then the vertically opposite angles are equal. Find ∠AOD. (iii) ∠1 and ∠2, ∠3 and ∠4, ∠5 and ∠6 are three pairs of supplementary angles. As ∠UVQ and ∠ROF are corresponding angles and are not equal. In the given figure, AE || GF || BD, AB || CG || DF and ∠CHE = 120°. Question 1: Question 18: Measure of a right angle is 90°. Question 111. Solution: Name: (d) Since, ∠AOC and ∠BOC are on the same line AOB and forming linear pair. Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. This chapter throws light on topics such as related angles, pair of lines. ⇒ 3x = 180° An angle of a linear pair is half of a right angle. 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. (i) vertex is always common, Question 98: Also, the two angles are supplementary, i.e. (c) 30°, 50° Also, m || n and p is transversal. Question 4: Solution: NCERT Exemplar Class 9 Maths Unit 6 Lines and Angles. Question 58: alternate interior angles have one common _________ Thus, one angle is 44° and other is 46°. Solution: NCERT Exemplar for Class 7 Maths Chapter 5 Lines and Angles With Solution . ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° ⇒ 4x = 180° It is given that x° makes a linear pair with 61°. In the given figure, a and bare ⇒ ∠EOD = 180° -30° – 40° = 110° ——— (i) CBSE Class 7 Maths Worksheet for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. 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 In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) uncommon arms are always opposite rays. c || f and a is transversal. ∴ ∠POR + ∠ROQ = 180° [Linear pair] (b) one of its angles is obtuse? NCERT Class 7 Maths Lines and Angles. (d) supplementary \(\Rightarrow \angle A B P=\frac{134^{\circ}}{2}=67^{\circ}\). Lines and Angles Formulas for Class 7. It is given that x is the half of it supplement i.e. Question 86. (iii) ∠TSV and ∠USV; ∠SVT and ∠SVU are adjacent angles. According to question, Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in … ⇒ x = 360°- 210° Solution : If ∠AOE = 30° and ∠DOB = 40° (see the figure) find ∠COF. 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 […] Two right angles are complementary to each other. Its complement -90° – x Then, angles a and b are respectively Putting value of x in (i), we get 2x + 1 + 2x + 3 = 180° Question 43: Question 104: RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. 5.1; Class 7 Maths Chapter 5 Ex. Also, the two angles are complementary, so their sum is equal to 90°. The angles between North and West and South and East are 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. Solution: Question 30: Two adjacent angles always form a linear pair. (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°. Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles. (a) pair of complementary angles. In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130, then ∠QPR is ⇒ 5a = 180° + 20° = 200° In figure, OB is perpendicular to OA and ∠BOC = 49°. Arm, Question 47. Measures (in degrees) of two complementary angles are two consecutive even integers. True In the given figure, PO || RS. (ii) Let the angle between d and e is ∠2. For example, the player has a better chance of scoring a goal from Position A than from Position B. An angle is 45°. Solution : Let one angle be x and other be y. Solution : \(\Rightarrow x=\frac{166^{\circ}}{2}=83^{\circ}\) ⇒ ∠3 – 180° – 105° = 75° [From (ii) part] True ; Question 24: (b) 135° ∴ The other angle = 90 – 50° = 40° < 45°. If two angles form a linear pair, then their sum will be 180°. In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. Solution: Let one angle be 2x + 1, then the other angle is 2x + 3. ⇒ 2x = 180° ⇒ x = 90° (b) Supplementary angles are those whose sum is 180°. ∴ AB and CD are not parallel lines. Solution: 37), which of the following is true? Since, PQ || RS and TR is a transversal. 45 to 48). If ∠AOE = 30° and ∠DOB = 40° (see figure), find ∠COF. ∴ ∠SQR, ∠SQT, ∠TQR, ∠TQP, ∠SQT, ∠TQP; ∠PQS, ∠SQR are pairs of adjacent angles. ∴ ∠AOD + ∠AOC = 180° [Linear pair] (a) one of its angle is acute? (d) supplementary angles Now, e || f and d is a transversal. (ii) one arm is always common, and Obtuse, Question 52. Therefore, B will be less than 45°. False (b) Since, x + 90° = x – 90° (i) ∠AOB and ∠BOC; ∠AOC and ∠COD; ∠AOB and ∠BOD; and ∠BOC and ∠COD are adjacent angles. ⇒ ∠Q = 180° – 60° = 120°, Question 13. Now, PQ || RT and RQ is a transversal. ⇒ b = c – a Now, PQ || RS and PR is a transversal. (i) b and c                                (ii) d and e Now, EF || GH and AB is a transversal. Solution : Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. ∴ AB || CD. True, Question 62. 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. Solution : ∴ b + d = 180° [Co-interior angles] Question 31: (a) 1°                                                        (b) 11° Question 76. (a) 29°                                                          (b) 61 ° (d) 150° Now, AB || CD and ED is a transversal. Question 34: Check the below NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download. a: If two lines intersect, then the vertically opposite angles are equal. (b) Since, PQ || ST and SO is a transversal. As vertically opposite angles are always equal but do not form a linear pair. ∠APS + ∠PSC = 130° + 50° = 180° (c) (i) is false but (ii) and (iii) are true         (d) (ii) is false Doing worksheets are important to check your understanding of various concepts. We have, In questions 57 to 71, state whether the statements are True or False. Solution : Since  ∠AOC and ∠BOC have a common vertex O, a common arm OC and also, their non-common arms, OA and OB, are opposite rays. ⇒ ∠ABC = 180° – 120° [Using (ii)] (c) making a linear pair Therefore, angles given in option (b) are supplementary as well as vertically opposite. (c) 122° ⇒ 50° = a True Let two consecutive odd integers x, x + 2. (b) 70°, 40° ; Question 92: Its complementary angle must be less than 45°. Question 95: We have, Now, a || d and c is a transversal. ∴ 4c = 3b    [Corresponding angles] (a) 36°               (b) 144°                    (c) 16°                        (d) 64° ⇒ 120° + ∠x – 180° [Using (1)] (c) 79° ∴ a + b = c [Alternate interior angles] ⇒ ∠x = 180° – 120° = 60° Which is given below, students can direct access from the given link. Solution: (iii) d and f Solution: An angle which is half of its supplement is of ∴ In the given figure, line l intersects two parallel lines PQ and RS. In the given figure, line l intersects two parallel lines PQ and RS. \(\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}\) (a) ∠a = b (d) adjacent but not supplementary ∴ ∠2 + ∠5 = 180° —— (i) [Co-interior angles] Now, 40° + 90° + 5a = 180° [Angles on a straight line BOE] Since, PQ || RT and PR is a transversal. corresponding angles are on the _________ side of the transversal. Also, RQ || TS and RS is a transversal. ∴ b = 48° ——— (i) (a) 100°                   (b) 80°               (c) 60°                (d)120° Now, ∠BOC = (x + 5)° = (35 + 5) = 40° Question 29: Thus, both the angles are of 83°. Solution : ∴ a = 36 obtuse angle. ∴ AOB is a straight line. ⇒ (3a – b)° = 180° – (2a + b)° ∴ ∠AOD = 139°, Question 94. ∴ ∠POQ + ∠QOR = 180° [Linear pair] ∴ ∠1 + ∠5 = 180° [By(i)and(iii)] Solution: Find the value of a + b. In a pair of adjacent angles, Solution : (a) 5b + 2a = 180° [Linear pair] (c) ∠3 + ∠8=180°                                         (d) ∠2 + ∠3=180° acute angle and other is 120°, i.e. ⇒ 120° + ∠z= 180° [Using (i)] Acute angles are those angles which are less than 90°. Solution : Let the two interior angles on the same side of transversal are x and y. (b) (3 – 6)° Students of Class 7 can download these solutions at any time as per their convenience for self-study purpose. Write all the pairs of adjacent angles by taking angles 1, 2, 3 and 4 only. (iii) Vertically opposite ∠1, ∠2 ; ∠2, ∠3; ∠3, ∠4; ∠4, ∠1. It is given that both are supplementary angles. Here we have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. ⇒ ∠2 = 180° – 135° = 45° 5. Solution : Solution: Question 1. (b) ∠2 = ∠4 (a) Both statements p and q are true. As two right angles are supplementary to each other. ∴ ∠1 + ∠z = 180° (Co-interior angles) ⇒ ∠QPR = 130° – 50° = 80°, Question 11. Given that ∠AOB = 90° [∵ OB ⊥ OA] Question 8. (ii) ∠POS and ∠SOQ; ∠POR and ∠ROQ are two pairs of supplementary angles. ⇒ B = 90° – A (d) both are obtuse If ∠x = ∠y = ∠z, then ∠x and ∠y; ∠y and ∠z; ∠z and ∠x are three pairs of complementary angles. Question 59. ∴ a = 3x = 3 × 36° = 108° NCERT Exemplar Solutions for Class 9 Maths Chapter 6 ‘Lines and Angles’, encourage you to improve your reasoning skills. Question 8: (d) Two angles are called adjacent angles, if they have a common vertex and a common arm but no common interior points. Question 21. ∴ a = 45° [Corresponding angles] (ii) AB and CD 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. ∴ ∠RST + a = 180° [Linear pair] Question 104. Maths Class 5 Lines and Angles Exercise 5.2 NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Angles, which are both supplementary and vertically opposite are Sum of interior angles on the same side of a transversal is 180°. ⇒ y = 90° – 60° = 30° Question 67. (a) From the given figure it is clear that. The drawings below (see figure), show angles formed by the goalposts at different positions of a football player. Let the angle be x. (d) Since, PQ || RS, line l is a transversal. ∴ ∠5 = ∠8 [Alternate interior angles], Question 40. ⇒ y = 180° – 48° = 132° NCERT Exemplar Class 9 Mathematics Chapter 6 Lines and Angles, is provided in pdf format for students to prepare for exams. False 90° If ∠1 = (2a + b)° and ∠6 = (3a – b)° , then the measure of ∠2 in terms of b is Question 71. Solution: Solution:  If sum of measures of two angles is 90°, then the angles are________. ⇒ ∠2 = 180° – 42° – 68° [Using (i)] ∴ (∠2+42°) + ∠3 = 180° [Co-interior angles] (a) Botha and bare true (c) ∠PQT and ∠TQS; ∠TQS and SQR; ∠PQT and ∠TOR; ∠PQS and ∠SQR are four pairs of adjacent angles. Solution : Since, vertically opposite angles are equal. Solution : (c) a is false and b is true Solution: CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. ∴∠AOC + ∠BOC=180° NCERT Exemplar Problems, CBSE Revision Notes for Class 12, 11, 10, 9, 8, 7, and 6 ... Lines and Angles Class 7 MCQ Questions; Which of the following is false? but ∠4 ≠ ∠8, Question 38. Two corresponding angles are on the same side of the transversal. (a) 110° The measure of an angle which is four times its supplement is (b) In a pair of adjacent angles, vertex is always common, one arm is always common and their non-common arms are on either side of the common arm. Solution: \(\Rightarrow \quad x=\frac{88^{\circ}}{4}=22^{\circ}\) Solution: ∴ x + 2y + 3y = 180° Question 61. Which player has the best kicking angle? q: a and b are forming a pair of adjacent angles. ∴ ∠1 = ∠2 [Alternate interior angles] Given, their difference is 20°. Question 76: ⇒ ∠COA = 90° – 49° [∵ ∠BOC = 49° (given)] ∴ x + y = 90° ———(i)     [Angles are complementary] The above Practice worksheets for Class 7 Lines and Angles have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. Then, ⇒ 130° = b Solution : Solution: Hence, following are adjacent angles: Question 73: Question 15: Also, AB || CD and EF is a transversal. (b) Let the angle be x. Solution: Solution: (a) complementary (b) supplementary Solution : If ∠ABC = 46°, then ∠ABP is equal to ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. Class 6, 7, which one of its angles is 180°, 0 b! May be downloaded and used as textbooks or for reference ∠1 = ———-. Question 97: two supplementary angles are those angles whose sum is 90° || GF || BD AB... Is provided in PDF format for students so that they can offline also, if l m! We get 90° °= 79° ⇒ x° = 90° – 79°= 11° Therefore, the complement an! 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At _________ points Education Subscribe to US on YouTube Next > Try Further learning steps copies of these Solutions help! Can offline also, the required angle is 11° AF || ED and FD is a transversal 63: adjacent! Question 102: in the given figure, state which pair of complementary angles 103: in the given,. 60° + 30°= 90° ) = 180° [ linear pair is also right e is a transversal here. Always in a straight line makes 180° angle = 108°, question 40 SR and SP||.! And ∠QRT = 55° your board examinations ) vertically opposite angles are equal without using the internet,! ) no, a = 50° [ Alternate interior angles are complementary angles EF each. Question 46: Alternate interior angles on the same side of a stool make an angle is always_______angle 34° Alternate... Ncert Solutions for Class 7 Maths NCERT Books Solutions, x + 90° = 90° ⇒ x =90° – =! || SR and SP | RQ question 53: the difference of vertically... 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