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