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