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Mathematics

An angle is double its complement. Find the angle.

Lines & Angles

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Answer

Let the angle be x.

Its complement is (90° - x).

The problem states the angle is double its complement.

∴ x = 2(90° - x)

⇒ x = 180° - 2x

⇒ x + 2x = 180°

⇒ 3x = 180°

⇒ x = 180∘3\dfrac{180^{\circ}}{3}

⇒ x = 60°

Hence, the required angle is 60°.

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