Question

if the complement of an angle is one-third of its supplement find the angle.

Answer 1

Answer:

Let the angle be x

complement of x is (90 − x)°

supplement of x is (180 − x)°

Given (90 − x)° = (1/3) × (180 − x)°

⇒ 270° − 3x = 180°− x

⇒ 270° − 180° = 3x − x

⇒ 2x = 90°

∴ x = 45°

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