Find the Angle Which Is Four Times Its Complement

By Team Aakash Byju's | 21st January 2023

The correct answer is 72°.

Detailed Explanation

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The complement angles are those which add up to 90 degrees.

i.e., a + b = 90°, where a is an angle and b is its complement.

This means the complement of an angle is its difference from 90°.

=> b = 90 – a

Assume, 'a' be the angle which is four times its complement  (90 – a).

a = 4(90 – a) a = 360 – 4a 5a = 360 => a = 72°

72 = 4 × 18

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complement angle

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four times complement angle