Question

Two supplementary angles are in the ratio 4 : 5. Find the angles.

Answer 1

Supplementary angles are in the ratio 4 : 5

Let the angles be 4x and 5x

It is given that they are supplementary angles

∴ 4x + 5x = 180°x

⇒ 9x = 180°

⇒ x = 20°

Hence, 4x = 4 (20) = 80°

5( x) = 5(20) = 100°

∴ Angles are 80° and 100°