Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. (a) 30° Question 15. (d) 180°. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Question 6. Answer: true. Thus, 85° and 75° do not form a linear pair. [Image will be Uploaded Soon] (c) 240° sometimes. Two obtuse angles are complementary. (c) If one of the angles is right, then other angle of a linear pair is also right. An acute angle has a degree measure of negative 45. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. Which of the following pairs of angles form a linear pair? (c) 30° Sum of linear pair … In the following figure, if ∠1 + ∠2 = 100°, then the measure of ∠4 is equal to Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. (c) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel. (d) ∠2, ∠8. (a) Two adjacent angles can be complementary. (b) 120° ∠DEF = ∠DGC = ∠ABC = 60°. (ii) Two acute angles can form a linear pair. Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. One acute and one obtuse angle can form a linear pair. 12. Question 17. (а) ∠1 + ∠2 = 180° The measure of the supplement of the angle 179° is Hint: (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … Question 7. (c) 45° (a) Two acute angles can form a linear pair. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (d) 90°, Question 16. Question 85. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. 1. Find the measure of each angle. ⇒ Complement of 46 = 90 − 46 = 44, Question 6. Answer: (a) 56° (d) 4°, Question 21. If two angles form a linear pair, they are complementary. Find the value of x in the following figure, if l || m. (d) 46°, Question 11. Which of the following statements is false? Hint: (b) Two right angles can be supplementary. ∴ ∠1 = 50° Two angles form a linear pair. Two angles form a linear pair. Answer: (b) supplementary (b) complementary angles Answer: true. Which of the following pairs of angles is not a pair of complementary angles? Question 38. (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … If two lines intersect at a point, then the vertically opposite angles are always . Question 25. Can an acute angle be adjacent to an obtuse angle? Question 24. (c) 45° Hint: Complementary angle = 90 − given angle (v) Pair of vertically opposite angles are always supplementary. (a) ∠1, ∠5 (c) Two obtuse angles can be supplementary. (a) 60° (c) adjacent angles Definition of supplementary angles. (b) 80° ∠x – ∠y = (180° – 62°) – 62° = 118° – 62° = 56°. (d) ∠3, ∠5. Statement C is true. a. 120° + 90° = 210° ≠ 180°. Hint: Can two acute angles form a linear pair? What is the measure of the supplement of the angle 0°? (a) 90° (a) Two acute angles can be supplementary. (c) Two vertically opposite angles can be right angles (d) none of these, Question 29. always. You can put this solution on YOUR website! Answer: false. Answer/Explanation. (c) ∠3 + ∠8 = 180° Question 9. ∠2 = ∠6, corresponding angles. 14. (c) ∠3, ∠7 Such angles are called a linear pair of angles. Two obtuse angles are complementary. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. 32° + 58° = 90° ≠ 180°. What is the measure of the complement of the angle 90°? they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees: (a) 30° (c) 360° (a) ∠1, ∠5 (d) Bisectors of the adjacent angles forming a linear pair form a right angle. geometry . The measure of an angle is three times the measurement of its complement. Two adjacent angles form a linear pair. 10 Lines on Republic Day for Students and Children in English. If ∠1 is an acute angle, then, which of the following statements is false? In the following figure, if ∠1 + ∠3 = 120°, then ∠2 + ∠4 is equal to Hint: (a) 50° (d) none of these. (Why?) (а) 30° Answer: (c) 300° Pigeon Essay | Essay on Honesty for Students and Children in English, Mahavir Jayanti Essay | Essay on Mahavir Jayanti for Students and Children in English, https://www.youtube.com/watch?v=nd-0HFd58P8. Hint: Complementary angles are adjacent angles. Can two acute angles form a pair of supplementary angles? (c) 62° One acute and one obtuse angle can be supplementary. (iv) Two adjacent angles always form a linear pair. Which of the following statements is true? A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. Which pair of the following angles are not supplementary? Question 36. (c) 60° (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (b) ∠2, ∠6 Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a Hint: Answer: (c) 90° (v) Pair of vertically opposite angles are always supplementary. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. Hint: (d) none of these. (b) Two adjacent angles cannot be supplementary Answer: (a) 60° We have provided Lines and Angles Class 7 Maths MCQs Questions with Answers to help students understand the concept very well. Therefore, two acute angles will not form a linear pair. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. If two congruent angles form a linear pair, then _____. (d) ∠2 + ∠6 = 180°. Answer: No two acute angles cannot form a linear pair. Which of the following statements is true? Question 8. In the following figure, ∠ AOB and ∠ BOC are No! In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Two angles of a linear pair are supplementary. (c) 60° Given: You can view more similar questions or ask a new question. (d) 136°, Answer: (b) 46° Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. Axioms. (d) none of these. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. (c) 300° Both angles of a pair of supplementary angles can never be acute. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (vi) 30° is one-half of its complement. Answer. Then, the measure of ∠DEF is Filed Under: MCQ Questions Tagged With: NCERT Solutions for Class 7 Maths, Your email address will not be published. 13. (b) 100° (d) 160°, Question 4. The measure of one angle is 24 degrees more than the measure of the other angle. sometimes. Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). Definition of a linear pair of angles. Log in, Maths MCQs for Class 7 Chapter Wise with Answers. Answer: (a) 60° (iv) Two adjacent angles always form a linear pair. Explanation: A linear pair of angles is formed when two lines intersect. (b) 2° (a) Two acute angles can form a linear pair. Check the below NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download. (а) supplementary angles (a) Two vertically opposite angles can be acute Never. Question 37. Which pair of the following angles are complementary? In the following figure, reflex ∠ AOB is equal to Hence, two acute angles cannot form a pair of supplementary angles. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . Answer: (a) 30° (c) 0°, 90° Question 1. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Free Quotation Format Letter, Samples | How to Write a Quotation Letter? (b) 16° Solution : True (b) Two obtuse angles can be complementary to each other (ii) Two acute angles can form a linear pair. The above discussion can be stated as an axiom. (c) 180° Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180°. ... Two angles whose degree measures sum to 180 form a linear pair. Which of the following pairs of angles is not a pair of supplementary angles? ∠2 + ∠4 = 360°- (∠1 + ∠3) = 360°- 120° = 240°, Question 40. Question: 19. Question 39. (b) 45° (a) adjacent angles One acute and one obtuse angle can be supplementary. Question 22. (b) 90° the measures of the angles of a quadrilateral are in the ratio of 1:2:3:4, find the measure of each angle . Absolutely. Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (a) 30° Answer: (d) ∠3, ∠5 Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Hint: asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; class-7; 0 votes. ,two obtuse angles can't form a linear pair. Question 26. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). Two acute angles can be supplementary. If the two supplementary angles are adjacent (i.e. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: (a) 30° Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. In the following figure, l || m. Find the measure of ∠ x. IMLCBD -261 me sides are opposite rays linear pairs. An acute angle has a degree measure of negative 45. Solution: No, two acute angles cannot form a pair of supplementary angles. The measure of the angle which is equal to its complement is always. (d) Two vertically opposite angles may be unequal, Answer: (d) Two vertically opposite angles may be unequal, Question 27. have a common vertex and share just one side), their non-shared sides form a straight line. RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions. (b) ∠2, ∠6 Two acute angles are supplementary. Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). (d) 45°. (а) 90° Yes Are ∠1, ∠2 a linear pair? If two angles are complementary, then the sum of their measures is If two angles are supplementary, then the sum of their measures is Two angles forming a linear pair are If two adjacent angles are supplementary, they form a (c) ∠3, ∠7 What is the measure of the complement of the angle 80°? Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. Complete the two-column proof. Answer: (b) 60° (d) 40°. As the sum of angles in the linear pair is . (b) Two obtuse angles can form a linear pair (d) 180°. Angle ABC and angel CBD form a linear line pair and have equal measures. (iv) Two adjacent angles always form a linear pair. For two angles to be adjacent, they only have to share a leg, which puts no restrictions on whether the non-common legs form a straight line or not. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. A linear pair of angles is supplementary. always. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Answer: true. (d) 80°, Answer: (c) 240° (vi) 30° is one-half of its complement. Also, ∠ABC = 60°. (ii) Two acute angles can form a linear pair. (b) Two vertically opposite angles can be obtuse ∴ ∠4 = 180° – 50° = 130°. (d) One obtuse angle and one acute angle can be complementary to each other, Answer: (a) Two acute angles can be complementary to each other, Question 5. (d) One obtuse angle and one acute angle cannot form a linear pair, Answer: (c) Two right angles can form a linear pair. Definition of supplementary angles. (b) ∠1, ∠3 (c) 0°, 180° Answer: (a) Two adjacent angles can be complementary. (iii) Two obtuse angles can form a linear pair. The angles in a linear pair are Hint: 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. Question 23. (b) ∠2 + ∠5 = 180° It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: Answer: (d) supplementary angles Answer: (d) Explanation : A. one angle is acute and the other angle is obtuse B. they are both right angles C. they are both acute angles D. they are both obtuse angles Please select the best answer from the choices provided (a) 60° Question 45. (b) 60° (Why?) Definition of complementary angles, Question 2. (c) 46° Answer. One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. (a) 60° In the following figure EF || GH. Acute angles are those angles which are less than 90°. Statement C is true. (a) 56° The measure of the supplement of the angle 120° is Hint: (c) 30° (a) 130° x° + x° = 180° ⇒ x° = 90°. Question 10. (c) An acute angle cannot be adjacent to an obtuse angles. False. Answer: (c) 46° Answer: (b) 32°, 58° (vi) 30° is one-half of its complement. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . Two angles of a linear pair are supplementary. (b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel. (b) 60° sometimes. (c) 120° (b) 45° You can put this solution on YOUR website! (b) 120° (iii) Two obtuse angles can form a linear pair. Attitude Is Great Essay | Essay on Attitude Is Great For Students and Children in English, Monkey Essay | Essay on Monkey for Students and Children in English. (c) 16° Question 12. No! Question 35. Two angles form a linear pair. Are ∠1, ∠2 a linear pair? Therefore, two acute angles will not form a linear pair. (d) 90°. always. If two angles are supplementary, then the angles are acute. Such angles are called a linear pair of angles. (a) 1° Hint: (d) supplementary angles. Hint: (a) 30° Hint: (a) Two acute angles can form a linear pair. (a) Two acute angles can be complementary to each other Question: 18. 150° + 30° = 180° ≠ 90°. Question 33. Sum of linear pair … Can two acute angles form a linear pair? Question 32. Then, the measure of ∠x is equal to Definition of alternate interior angles. (a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal. Can an acute angle be adjacent to an obtuse angle? Question 6. Solution : False Linear pair is always in a straight line. Question 64: Two angles making a linear pair are always supplementary. 32 above. (c) 60° Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a (c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary. If two angles are supplementary then one angle is acute and one angle is obtuse. (c) 360° Can two acute angles form a linear pair? ∠3, ∠5 are alternate interior angles. (a) 90° Are ∠1, ∠2 a linear pair? Answer. Explanation: A linear pair of angles is formed when two lines intersect. (x + 30°) + 120° = 180° ⇒ x = 30°. 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The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. (v) Pair of vertically opposite angles are always supplementary. If two angles are supplementary, then the angles are acute. Definition of a linear pair of angles. (iii) Two obtuse angles can form a linear pair. Bank Verification Letter Format & Samples | Key Points on How to Write a Letter for Bank Verification? (b) 120° (a) complementary angles Question 13. (iv) Two adjacent angles always form a linear pair. Hint: (d) 90°, Question 14. The other two angles are in a ratio of 5:16. Promotion Letter Format, Sample Templates | How to Write an Employee Promotion Letter? Your email address will not be published. x° = $$\frac { 1 }{ 2 }$$(180° – x°) ⇒ x° = 60°. Absolutely. In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. Question: 18. If the two supplementary angles are adjacent (i.e. We hope the given NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download will help you. In figure OA and OB are opposite rays : (i) If x = 75, what is the value of y ? Required fields are marked *, Concise Mathematics Class 10 ICSE Solutions 2018. Question 7. (d) 130°. Which pair of angles are alternate interior angles? (d) none of these. The sum of the measures of the angles in a linear pair is (b) 60° Which of the following statements is true? Always. (d) One obtuse angle and one acute angle cannot be supplementary. Find the measure of the angle which is double of its complementary angle? Tell which of the following pairs of angles need not be equal? The sum of the measures of two supplementary angles is Axiom 1 The adjacent angles form a linear pair of angles if a ray stands on a line. (d) 360°. have a common vertex and share just one side), their non-shared sides form a straight line. (d) Two right angles cannot be adjacent angles. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. (d) vertically opposite angles, Answer: (b) complementary angles (a) 30° One of the Angles of a linear pair is acute, then the other angle should be obtuse, only then their sum will be 180°. 1 answer. (c) 45° (b) 45° x + x + 60° = 180° ⇒ x = 60°. (c) adjacent angles The measure of the complement of the angle 30° is (a) 45° Hint: (d) ∠3, ∠5. If you have any queries regarding Lines and Angles CBSE Class 7 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon. never. of Angle ABC is adjacent BC=112.5. (b) 30° Two acute angles are supplementary. If we add two angles which are less than 90°, we get the result less than 180°, e.g. Two vertical angles are supplementary. (b) 66°, 34° In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to Answer: (c) 60° The sum of the measures of two complementary angles is Hint: Math. If two angles angles form a linear each conjecture is true angle - def. Question: 19. of Angle ABC is adjacent BC=112.5. (b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal. The measure of a straight angle is greater than the measure of an obtuse angle. ∠1 = ∠2; ∠1 + ∠2 = 100° (d) 20°. (a) 180° The figure shows the design on an outdoor fence. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. Hint: MCQ Questions for Class 7 Maths with Answers were prepared based on the latest exam pattern. Question 41. Question 19. Answer: false. Answer: (d) 130° AhanaMahapatra AhanaMahapatra Answer: Tell if angel ABC is acute, right, or obtuse - 10812882 Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (c) 36° Give reason in support of your answer. What kind of angle is the other? Answer. Can two acute angles form a linear pair? (a) ∠1, ∠2 Two angles forming a linear pair are; If two adjacent angles are supplementary, they form a; If two lines intersect at a point, then the vertically opposite angles are always; If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are; Solution: 90° 180° (a) 60° IMLCBD -261 me sides are opposite rays linear pairs. (b) 100° If we add 60° and 70°, we get 60°+ 70° = 130° <180°. No, since the measure of a linear pair of angles should be 180 degrees and the measure of an acute angle is less than 90 degrees. Question 43. (b) 180° If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … Answer: No two acute angles cannot form a linear pair. sometimes. (b) 180° (b) supplementary angles For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. (c) 80° See the figure of Q. The measure of one angle is 8 times the measure of the other angle. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. Salary Increment Letter Samples, Format | How to write a Salary Increase Letter? x° = 2(90° – x°) ⇒ x° = 60°. Hint: (d) 76°, 104°. Thus, the vertical angles are not also a linear pair. The measure of one angle is 8 times the measure of the other angle. When the sum of the measures of two angles is 90°, the angles are called Answer: (a) ∠1, ∠2 No: Two angles are a linear pair, if and only if:!) Answer: (a) 130° (d) A transversal cuts two parallel lines in three points, Answer: (d) A transversal cuts two parallel lines in three points, Question 28. (a) 90° (b) 44° (b)45° Question 20. Two angles that sum to a straight angle (1 / 2 turn, 180°, or π radians) are called supplementary angles. Answer: (b) 180° (a) complementary Answer: (a) 60° (d) 120°. (c) 90° Answer. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel. (d) vertically opposite angles. Answer: (d) ∠2 + ∠6 = 180° never. Answer. In the following figure, AB || DG and BC || EF. Question 7. (b) 118° Can two acute angles form a linear pair? (i) Two obtuse angles can be supplementary. But the acute angles have their maximum value of thus their sum cannot be . Question 8. Hint: Two angles whose measures sum to 180 degrees. Find the measure of each angle. Enquiry Letter Format & Samples | How to Write an Enquiry Letter? Always. (c) 90° Answer By Toppr. 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Questions Tagged with: NCERT Solutions for Class 7 Maths Chapter 5 lines and angles Class 7 Maths Chapter lines... 64: two angles are always design on an outdoor fence, 30° Hint: ∠2 = ∠6 corresponding... For better exam preparation and score more marks can two acute angles have their maximum value of thus their can. ( d ) Bisectors of the adjacent angles forming a linear pair salary Increment Letter Samples, Format How! Complementary and supplementary angles pair can be supplementary pairs of angles form a pair of supplementary angles thus! Never be acute and one acute and one obtuse angle can not be = 90° 180°. 100° ( c ) an acute angle can form a linear line pair and have equal measures:... Ray stands on a line: ∠2 = ∠6, corresponding angles always! > 90° that 's why it ca n't one of the adjacent angles formed by intersecting..., question 11 is true, ∠3 and ∠4, formed by opposite rays, formed by two intersecting.. 180° > 90° that 's why it ca n't are always the design on an outdoor fence marked * Concise... ) two acute angles can not form a linear pair, if and only:... If their sum can not form a linear pair form a linear pair: a linear.... One angle is three times the measure of a linear pair if ∠1 is an acute angle can form... ∠ 4 = 360° – 230° = 130° < 180° in a of. - def ∠ x Write a Letter for bank Verification outdoor fence 90° 's... The measures of the angle which can two acute angles form a linear pair double of its complement angle, then they are adjacent i.e. ) Fig 5.11 ( ii ) two right angles can form a linear pair a pair. Be acute and one obtuse angle 90° ≠ 180° ( а ) 90° ( b ),... Ca n't are opposite rays linear pairs sum gives a right angle ( 90 degrees ) whose! Observe … Statement c is true angle - def because their sum gives a right angle ]! Then other angle Quotation Format Letter, Samples | Key points on How to Write salary! Whose non-common sides are opposite rays that are not supplementary pair is an acute angle, then they are.... A pair of angles are always supplementary pair because their sum can not be published MCQ Questions Class. Their non-shared sides form a right angle ( 1 / 2 turn, 180° d. And ∠4, formed by opposite rays Letter Format, Sample Templates | How to an. Also right just one side ), their non-shared sides form a linear pair linear pairs add... Form four congruent angles form linear pair they are supplementary = 60° angles which are less than.! ∠ 4 = 360° – 230° = 130° < 180° and only if:! transversal, then _____ and. More similar Questions or ask a new question can view more similar Questions or ask a question! Than 180°, or π radians ) are called a linear pair because their can. More similar Questions or ask a new question ( 62.4k points ) lines and angles with Answers to students... Its complement a straight angle is acute ) ∠3, ∠5 ( d ),... Or ask a new question = 60° 90 degrees ) 15 less than 90° are opposite rays two. Free download will help You angles need not can two acute angles form a linear pair adjacent to an obtuse angle can be if! Sides are opposite rays be Uploaded Soon ] Explanation: a linear pair are always supplementary ∠2 Hint: +! Two congruent angles that are not also a linear pair is always in a of!