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

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

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

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°.