1 Answer Somebody N. Jun 2, 2018 #color(blue)("No")# ... One angle is 5 degrees less than four times the other. Similarly, complementary angles add up to 90 degrees. Two perpendicular lines form two pair of supplementary vertical angles. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: ... (Drag the points) When the two angles add to 180°, we say they "Supplement" each other. Each pair of angles of the same size are called vertical angles. a right triangle may also be obtuse ... the bisectors of two adjacent supplementary angles are ____ perpendicular to each other. Supplementary angles add to 180 degrees. true. Yes, Two acute angles can be adjacent angles . No. Can two acute angles be supplementary? SOLUTION: If the sum of the measures of two adjacent angles is 90, then they are complementary adjacent angles. 3. Solution: True Since, 90° + 90° = 180°, a supplementary angle. Can two obtuse angles be supplementary? THINK, DISCUSS AND WRITE 1. One obtuse angle and one acute angle can make a pair of supplementary angles. The smallest obtuse angle you can get is 91 degrees so 91+ 91 = 182 degrees. T ry T hese Think, Discuss and Write. Can two right angles be supplementary? Answer: (a) Two acute angles can be complementary to each other When two angles are supplementary, each angle is said to be the supplement of the other. Yes. 3. Obtuse angles are bigger than 90 degrees but smaller than 180 degrees. If two angles are supplementary, then they are a linear pair of angles… Proof: example : Consider two adjacent figure ∠AOB and ∠AOC given in the attachment. ∠AOB and ∠AOC share -->common arm OB and Let's take two right angles and add them: ∠ x = 90° and ∠ y = 90° On adding ∠ x and ∠ y; we get: ∠ a + ∠ b = 90° + 90° = 180° Now, the sum of two right angles is equals to 180°. But it should be noted that the two angles that are supplementary to each other, do not have to be next to each other. Hence, any two angles can be supplementary, if their sum equal to 180°. Geometry Angles and Intersecting Lines Complementary and Supplementary Angles. Two angles are said to be adjacent when they share :--> Common arm --> Common vertex. Only two angles can sum to 180 °-- three or more angles may sum to 180 ° or π radians, but they are not considered supplementary The two angles must either both be right angles , or one must be an acute angle and the other an obtuse angle Supplement comes from Latin supplere, to complete or "supply" what is needed. Therefore, ∠HGE and ∠FGD are obtuse vertical angles. 2. Hence, we can say that two right angles are always supplementary to each other. Question 61. sometimes. two quantities that are equal to the same quantity are equal to each other. 1. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. Each angle is greater than a right angle. false. Can two obtuse angles be supplementary? 1. a straight angle contains 180 degress. Acute Angle : Acute angle is one which is more than 90° and less than 180°. Answer. The two supplementary angles, if joined together, form a straight line and a straight angle. As one acute angle and one obtuse angle can make two supplementary angles. Can two right angles be supplementary? When two angles are supplementary , each angle is said to be the supplement of the other . Two obtuse angles cannot be supplementary 2. Two right angles are always supplementary to each other. Can two acute angles be supplementary? Can two obtuse angles be supplementary? Can vertical angles be acute? 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