# If an angle is 28° less than its complement, find its measure?

Question:

If an angle is 28° less than its complement, find its measure?

Solution:

Let the angle measured be 'x' in degrees

Hence, Its complement will be 90 − x°

Angle = Complement - 28

x = (90 - x) - 28

2x = 62

x = 31

Therefore, angle measured is 31°