Question

 If the supplement of an angle is 4 times of its compliment, find the angle.

      a. 60°

      b. 50°

      c. 80°

      d. 100°​

Answer 1

Answer:

c.80 degrees is the answer

Step-by-step explanation:

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Answer 2

Answer:

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 = 180/3

= 60

180

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Hope it helps you sana.