Question

If an angle is 30° more than one half of its complement, find the measure of the angle?

Answer 1

Let an angle measured by ‘ a ‘ in degrees

Thus, its complement will be (90 – a)° 

Required Angle = 30° + complement/2 

a = 30° + ( 90 – a )°/2 

a + a/2 = 30° + 45°

3a/2 = 75° 

a = 50° 

Therefore, the measure of required angle is 50°.