The sum of an amgle and one third of its supplementry angle is 90°. the measure of the angle is a) 135°b)120°c) 60°d)45°

The sum of an amgle and one third of its supplementry angle is 90°. t

1.	The sum of an amgle and one third of its supplementry angle is 90°. the measure of the angle is a) 135°b)120°c) 60°d)45°
Answer» The angle is 45°. Hence, the correct OPTION is (d) 45°Given:The sum of an angle and ONE third of its SUPPLEMENTARY angle is 90°.To find:The measure of that angle. Solution:Let the unknown angle be x.It's supplementary angle = 180° - xA/q the angle is 45°.Extra - Information: Two Angles are Supplementary when they add up to 180°. When the sum of the adjacent angles is 180°, then the angles are supplementary. And they will also form a linear PAIR. It is not necessary that supplementary angles are always adjacent and hence, not all supplementary angles will form a linear pair. All linear pair of angles are supplementary, but not all supplementary angles will form a linear pair.