The measure of an angle is 30° less than its supplement. Find the measure of the angle.
Lines & Angles
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Question

The measure of an angle is 30° less than its supplement. Find the measure of the angle.

KnowledgeBoat · Accepted Answer

Let the angle be x. Its supplement is (180° - x). The problem states the angle is 30° less than its supplement. ∴ x = (180° - x) - 30° ⇒ x = 150° - x ⇒ x + x = 150° ⇒ 2x = 150° ⇒ x = ⇒ x = 75° Hence, the required angle measures 75°.

Mathematics

The measure of an angle is 30° less than its supplement. Find the measure of the angle.

Lines & Angles

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