The measure of an angle is 20° more than its complement. Find the measure of the angle.
Lines & Angles
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Question

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

KnowledgeBoat · Accepted Answer

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 = ⇒ x = 55° Hence, the required angle measures 55°.

Mathematics

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

Lines & Angles

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