A. True/False: Supplementary angles form a straight angle 52. (iv) Two adjacent angles always form a linear pair. One of its angles is an acute angle and another angle is an obtuse angle. State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. - 17048404 true or false every pair of supplementary angles one must be obtuse-----false. Linear pair forms two supplementary angles. Intersecting chords form a pair of supplementary, vertical angles. Refer to the following statement: Two lines are perpendicular if and only if they intersect to form a right angle. Not necessarily true. Two angles are supplementary. (c) Both of the angles forming a linear pair can be obtuse angles. (iii) Two obtuse angles can form a linear pair. Supplementary angles always add up to 180^@ For an angle theta An obtuse angle implies: 90^@< theta<180^@ For two angles: theta_1 and theta_2 If: 90^@ < theta_1<180^@ and: 90^@ < theta_2<180^@ Then: theta_1+theta_2>180^@ color(blue)("No") Considering only positive angular measurement. Special Angle Pairs: CLASSWORK 50. True/False: Complementary angles form a right angle 51. 10 ... 21. . Is this a biconditional statement? True or false. See the first picture below. Answer is option A (TRUE) If two angles form a linear pair, the angles are supplementary. Two angles are complementary. a. Question 212056: true or false every pair of supplementary angles one must be obtuse ... You can put this solution on YOUR website! State whether the following statements are true or false. Supplementary angles must be obtuse. By definition, supplementary angles add up to 180° therefore they are linear pairs, if they are adjacent. (ii) Two acute angles can form a linear pair. Two acute angles can be supplementary. Which one of the following statements is not false? Is the statement true? 53. A linear pair forms a straight angle which contains 180, so you have 2 angles whose measures add to 180, which means they are supplementary. True only if the two angles are adjacent (i.e. have a point in common). 17. 3. Is the conditional true or false? Two angles are said to be supplementary angles when they add up to 180 degrees. If This means that ∠A + ∠B = 180°. Complementary angles must be acute. Both of the angles are right angles. Z are Got It? B. True, if they are adjacent and share a vertex and one side. (v) Pair of vertically opposite angles are always supplementary. Two angles are supplementary if and only if they form a linear pair. If a month has 28 days, then it is February. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. If then form Hypothesis Conclusion 4 Angles in a linear pair are supplementary from MATH GENMATH at University of San Carlos - Main Campus See the second picture. Problem 2 How can you write the following statement as a conditional? They could both be 90 degrees. Otherwise false. WILL GIVE BRAINLIEST. A pair of vertical angles can be complementary. 16. They might not form a linear pair, like in a parallelogram. If it is false, find a counterexample. One of the angles is 17°, what is the measure of the other angle? Two angles are supplementary, if. Supplementary angles a and b do not form linear pair. Write the converse of the true statement and decide whether the converse is true or false. The intersection of two rays creates two pairs of vertical angles and four pairs of supplementary angles. (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. b. 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