Question

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

Answer 1

75°

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Answer 2

Answer

45

Step-by-step explanation:

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Solution :-

☆ 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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