Question

if an angle is 45 more than half of its complement, find the measure of the angle

Answer 1

Answer:

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°.