Question

The measure of an angle is 30 more than its complement.  find the measure of the angle and its complement

Answer 1

60 degrees

Explanation:

Let the angle be x

Complement of angles: A pair of angles whose sum is 90°

So, complement of angle = 90-x

We are given that the measure of an angle which is 30 degree more than its complement

So, x-(90-x)=30

x-90+x=30

2x-90=30

2x=120

x=60

Hence The angle is 60°