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</html>";s:4:"text";s:11901:"∠ PQR is an obtuse angle because its less than 180° and greater than 90°. The bisectors of two supplementary angles are ___ perpendicular to each other. One obtuse angle and one acute angle can make a pair of supplementary angles. Similarly, a triangle cannot have a right angle and obtuse angle at the same time. 4. Note: • An acute angle is less than 90°. but an acute angle is always less than 90 degrees, so two acute angles cannot add up to equal 180 degrees/be supplementary. Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170° etc. The angle supplementary to ∠1 is ∠6. As supplementary angle means 180 the sum total of 89 and 91 is 180. The angle opposite to the obtuse angle is the longest side of the triangle. Both of the angles are right angles. This is the only angle marked that is acute. Take acute angle as 89 and obtuse angle as 91. Straight Angle An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. asked Jun 2, 2020 in Lines and Angles by Subnam01 ( 52.0k points) lines and angles As one acute angle and one obtuse angle can make two supplementary angles. As each of the angle is $$<90^0$$.So, the sum of two acute angles is always less than $$ 180^0$$.Hence they cannot form pair of supplementary angles. Other resources: Angles - Problems with Solutions Types of angles Parallel lines cut by a transversal Test. Question 61. Grade 7 Maths Lines and Angles … 3. ∠1 is an obtuse angle, and any one acute angle, paired with any obtuse angle are supplementary angles. One of its angles is an acute angle and another angle is an obtuse angle. Always. Two right angles are always supplementary to each other. One obtuse angle and one acute angle can make a pair of supplementary angles. (a) One obtuse angle and one acute angle (b) One reflex angle and one acute angle (c) Two obtuse angles (d) Two right angles Solution: (d) Because sum of two right angles is equal to 180°. Two angles are said to be supplementary angles when they add up to 180 degrees. An equilateral triangle cannot be obtuse. View Full Answer Its FREE, you're just one … Solution: True. This means that ∠A + ∠B = 180°. Solution: True Since, 90° + 90° = 180°, a supplementary angle. • An obtuse angle … Two angles are supplementary, if. If two adjacent angles are complementary they form a right angle. If one of the angles of a triangle is obtuse, the other two angles of a triangle must be acute. no because supplementary means when 2 angles equal 180 degrees. Sum of interior angles on the same side of a transversal with two parallel lines is 90°. Two obtuse angles form a linear pair. Answer: Yes . 5. • A right angle is equal to 90°. 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