Question

find the angle whose supplement is four times its complement

Answer 1

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Let the angle be x
Supplement = 180° - x
Complement = 4(90° - x)

A/q
180° - x = 4(90° - x)
=> 180° - x = 360° - 4 x
=> - x +4x = 360-180°
=> 3 x = 180°
=> x = 180°/3 = 60°

Hope it helps you

Answer 2

Solution:−

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = \frac{180}{3}

3

180

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Learn more:

Find the angle whose supplement is 4 times its complement

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