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