Find an angle which is two-thirds of its complement.

Question

KnowledgeBoat · Accepted Answer

Let the angle be x. Its complement is (90 - x). The problem states the angle is of its complement. ∴ x = ⇒ 3x = 2(90° - x) ⇒ 3x = 180° - 2x ⇒ 3x + 2x = 180° ⇒ 5x = 180° ⇒ x = ⇒ x = 36° Hence, the required angle measures 36°.

Mathematics

Find an angle which is two-thirds of its complement.

Lines & Angles

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