This means that ∠A + ∠B = 180°. Two angles are supplementary, if. An equilateral triangle cannot be obtuse. • A right angle is equal to 90°. The angle supplementary to ∠1 is ∠6. The angle opposite to the obtuse angle is the longest side of the triangle. If the sum of two angles is an obtuse angle, at least one of the angles must be ___ a. acute. One of its angles is an acute angle and another angle is an obtuse angle. As one acute angle and one obtuse angle can make two supplementary angles. Two acute angles form a linear pair. Note: • An acute angle is less than 90°. The bisectors of two supplementary angles are ___ perpendicular to each other. Obtuse Angle … no because supplementary means when 2 angles equal 180 degrees. Similarly, a triangle cannot have a right angle and obtuse angle at the same time. Both of the angles are right angles. but an acute angle is always less than 90 degrees, so two acute angles cannot add up to equal 180 degrees/be supplementary. Other resources: Angles - Problems with Solutions Types of angles Parallel lines cut by a transversal Test. 5. Question 61. 3. One obtuse angle and one acute angle can make a pair of supplementary angles. Question 62. One obtuse angle and one acute angle can make a pair of supplementary angles. asked Jun 2, 2020 in Lines and Angles by Subnam01 ( 52.0k points) lines and angles Sum of interior angles on the same side of a transversal with two parallel lines is 90°. Two angles are said to be supplementary angles when they add up to 180 degrees. This is the only angle marked that is acute. ∠ PQR is an obtuse angle because its less than 180° and greater than 90°. Take acute angle as 89 and obtuse angle as 91. An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°. Always. Obtuse Angle. Solution: True Since, 90° + 90° = 180°, a supplementary angle. An obtuse triangle is ___ isosceles. Answer: Yes . ∠1 is an obtuse angle, and any one acute angle, paired with any obtuse angle are supplementary angles. Two obtuse angles form a linear pair. If one of the angles of a triangle is obtuse, the other two angles of a triangle must be acute. If two adjacent angles are complementary they form a right angle. 2. Solution: True. (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°. Straight Angle Examples of obtuse angles are: 100°, 120°, 140°, 160°, 170° etc. Two right angles are always supplementary to each other. 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. View Full Answer Its FREE, you're just one … 4. Grade 7 Maths Lines and Angles … • An obtuse angle … As supplementary angle means 180 the sum total of 89 and 91 is 180. 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