If the supplement of an angle is (5/2) of its complement, then find the angle.

We know, two angles whose sum is 90° are called complementary angles and two angles whose sum is 180° are called supplementary angles

Let the angle be x

According to the question,

⇒ (180° – x) = 5/2 (90° – x)

⇒ 360° – 2x = 450° – 5x

⇒ 3x = 90°

⇒ x = 30°

∴ The angle is 30°