Question

Find the angle that is three times its complementary angle.

Answer 1

Let given angle = x

Let complementary angle of a given angle is y

∴ then x + y = 90

But x = 3y

∴ 3y + y = 90°

⇒ 4y = 90°

⇒ y = `90^circ/4` = 22.5°

∴ complementary = x = 90° - 22 - 5° = 67.5°