The measure of an angle is 20° more than its complement. Find the measure of the angle.

Let the angle be x.

Its complement is (90° - x).

The problem states the angle is 20° more than its complement.

∴ x = (90° - x) + 20°

⇒ x = 110° - x

⇒ x + x = 110°

⇒ 2x = 110°

⇒ x = $\dfrac{110^{\circ}}{2}$

⇒ x = 55°

Hence, the required angle measures 55°.