Find an angle which is one-fifth of its supplement.

Question

KnowledgeBoat · Accepted Answer

Let the angle be x. Its supplement is (180° - x). The problem states the angle is of its supplement. ∴ x = ⇒ 5x = 180° - x ⇒ 5x + x = 180° ⇒ 6x = 180° ⇒ x = ⇒ x = 30° Hence, the required angle measures 30°.

Mathematics

Find an angle which is one-fifth of its supplement.

Lines & Angles

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