Question

find the angle whose supplement is four times its complement​

Answer 1

Question:Find the angle whose supplement is four times it's complement

Answer:60°

Explanation:

Let the angle be x

supplement of an angle=180°-x

Complement=90°-x

A/Q Supplement is 1/4 of it's complement

1/4(180°-x)=90°-x

180°-x=4(90°-x)

180°-x=360°-4x

-x+4x=360°-180°

3x=180°

x=60°

__________

The angle=60°

Answer 2

Step-by-step explanation:

Let the angle be x

Supplement of angle=(180°-x)

Complement=(90°-x)

A/Q,

1/4(180°-x)=(90°-x)

180°-x=360°-4x

4x-x=360°-180°

3x=180°

x=180°/3

x=60°

Hence,angles=60°