Question

The supplement of the double of complement of an angle is 120 degree. Find the complement of the angle.

Answer 1

Answer:

30°

Step-by-step explanation:

Let the angle be x°

Complement of the angle=90°-x°

Double of complement of the angle=2(90°-x°)

Supplement of the double of complement of the angle=180°-2(90°-x°)

According to the question,

180°-2(90°-x°)=120°

or,180°-180°+2x°=120°

or,2x°=120°

or,x=60°

Thus, the complement of the angle=90°-60°=30°