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