Please log in or register to add a … (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Answer. math. always. never. Question 6. One acute and one obtuse angle can be supplementary. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. Answer. A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is 180°. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. (iv) Two adjacent angles always form a linear pair. For example, 2 consecutive angles of a parallelogram are supplementary, but they do not form a linear pair, since they do not share the same vertex and are therefore not adjacent. (vi) 30° is one-half of its complement. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . Answer By Toppr. Sum of linear pair is 180°. have a common vertex and share just one side), their non-shared sides form a straight line. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. If we add 60° and 70°, we get 60°+ 70° = 130° <180°. 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 Can two acute angles form a pair of supplementary angles? Two angles form a linear pair. What kind of angle is the other? Answer. Answer/Explanation. Yes Are ∠1, ∠2 a linear pair? 25. Answer: (d) Explanation : Solution: No, two acute angles cannot form a pair of supplementary angles. If two angles angles form a linear each conjecture is true angle - def. But the acute angles have their maximum value of thus their sum cannot be . sometimes. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. (iv) Two adjacent angles always form a linear pair. Two angles form a linear pair. Answer. If two angles are supplementary, then the angles are acute. Question 7. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; class-7; 0 votes. Question 6. One acute and one obtuse angle can be supplementary. (a) Two acute angles can form a linear pair. An acute angle is less than 90 degrees. Answer: true. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). Both angles of a pair of supplementary angles can never be acute angles. (a) Two acute angles can form a linear pair. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. 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: Two acute angles are supplementary. Can two acute angles form a pair of supplementary angles? Two obtuse angles are complementary. sometimes. Two angles that form a linear pair are supplementary. ... Two angles whose degree measures sum to 180 form a linear pair. How do you find density in the ideal gas law. (v) Pair of vertically opposite angles are always supplementary. (a) Two acute angles can form a linear pair. Two angles of a linear pair are supplementary. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: Solution : True Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° Question 85. Give reason in support of your answer. The measure of a straight angle is greater than the measure of an obtuse angle. Are ∠1, ∠2 a linear pair? Answer. always. 1 answer. (a) Two acute angles can form a linear pair. What kind of angle is the other? Thus, 85° and 75° do not form a linear pair. Solution : False Linear pair is always in a straight line. Give reason in support of your answer. If we add two angles which are less than 90°, we get the result less than 180°, e.g. 7. (v) Pair of vertically opposite angles are always supplementary. It is impossible for two acute angles to add up to #180^@#.. You can find an interactive image of a linear pair: Answer. Both angles of a pair of supplementary angles can never be acute. Answer: false. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; 8. geometry . As the sum of angles in the linear pair is . (c) If one of the angles is right, then other angle of a linear pair is also right. Find the measure of each angle. Absolutely. 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: Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). (c) Both of the angles forming a linear pair can be obtuse angles. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. If two congruent angles form a linear pair, then _____. Answer: No two acute angles cannot form a linear pair. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Answer. (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. Answer. One of the angles forming a linear pair is an acute angle. What are the units used for the ideal gas law? never. 10. (iii) Two obtuse angles can form a linear pair. Given: You can view more similar questions or ask a new question. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. The sum of the measures of the angles in a linear pair is 180. a. if two angles form a linear pair, then the angles are supplementary b. if two angles are right angles, then the angles are complementary c. if two angles have the same measure, then the angles are congruent. Solution: No, two acute angles cannot form a pair of supplementary angles. What are the measures of those two angles? One of the angles forming a linear pair is an acute angle. 1 answer. Answer: (d) Explanation : The measure of a straight angle is greater than the measure of an obtuse angle. 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. What is the type of other angle of a linear pair, if (a) one of its angle is acute? (i) Fig 5.11 (ii) In Fig 5.1 1 (i) above, observe … Question 63: Two supplementary angles always form a linear pair. You can put this solution on YOUR website! (ii) Two acute angles can form a linear pair. (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. the measures of the angles of a quadrilateral are in the ratio of 1:2:3:4, find the measure of each angle . Answer/Explanation. One of the angles forming a linear pair is an acute angle. What kind of angle is the other? Statement C is true. Complementary and Supplementary Angles: Two angles are said to be complementary if their sum gives a right angle (90 degrees). Acute angles are those angles which are less than 90°. Complete the two-column proof. Therefore, two acute angles will not form a linear pair. (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. Can two acute angles form a linear pair? (a) Two acute angles can form a linear pair. (vi) 30° is one-half of its complement. No: Two angles are a linear pair, if and only if:!) Question 64: Two angles making a linear pair are always supplementary. One acute and one obtuse angle can form a linear pair. (ii) If y = 110, what is the … Answer: false. Since when two angles form linear pair they are supplementary, they add up to form 1 8 0 degrees. You can find an interactive image of a linear pair: If two angles are supplementary, then the angles are acute. Ans : (d) Bisectors of the adjacent angles forming a linear pair form a right angle. The definition of a linear pair of angles is two angles that are adjacent (share a leg) and supplementary (add up to 180°). around the world, https://www.mathopenref.com/linearpair.html. Answer: (c) Two right angles can form a linear pair (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. of Angle ABC is adjacent BC=112.5. Sum of linear pair … (b) one of its angles is obtuse? Math. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. 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. 1. Can two acute angles form a linear pair? Two obtuse angles are complementary. An acute angle has a degree measure of negative 45. Two acute angles are supplementary. Statement C is true. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. In figure OA and OB are opposite rays : (i) If x = 75, what is the value of y ? If the two supplementary angles are adjacent (i.e. Such angles are called a linear pair of angles. You can put this solution on YOUR website! The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° Answer: true. Since angles are supplementary, the only way that they cannot be a linear pair is if they are not adjacent. If two angles form a linear pair, one of the two angles is an acute angle an the other is an obtuse angle. Can an acute angle be adjacent to an obtuse angle? Absolutely. 24. (Why?) (c) If one of the angles is right, then other angle of a linear pair is also right. No! (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. The other two angles are in a ratio of 5:16. Can two acute angles form a linear pair? An acute angle has a degree measure of negative 45. always. (a) Two acute angles can form a linear pair. How do I determine the molecular shape of a molecule? Question 8. Question 85. For example, 85° and 75° are two angles such that 85° + 75° = 160° < 180°. Hence, two acute angles cannot form a pair of supplementary angles. Determine whether ABC is a straight (point B) — = 135° , find Angle ABD & angle 64° 7. 9. Best answer. How does Charle's law relate to breathing? asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; class-7; 0 votes. State whether the statement are True or False. Complementary angles form a linear pair. (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. Can two acute angles 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. IMLCBD -261 me sides are opposite rays linear pairs. Explanation: A linear pair of angles is formed when two lines intersect. (ii) Two acute angles can form a linear pair. Hence, one angle has to be acute and other angle obtuse if … Answer: true. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. Answer. d. if two angles are supplementary, then the angles are acute. Question 7. (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. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. 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. The answer is no. Which of the following pairs of angles form a linear pair? The measure of one angle is 8 times the measure of the other angle. Give reason in support of your answer. It is impossible for two acute angles to add up to #180^@#. Which of the following pairs of angles form a linear pair? (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. asked Apr 5 in Lines and Angles by ShasiRaj (62.4k points) lines and angles; (iii) Two obtuse angles can form a linear pair. (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.