if an angle is 30 degree more than one half of its complement find the measure of the angle

Let one angle be x .

Therfore , other angle = x/2 + 30

x + x/2 + 30 = 90 (according to the ques. )

3x/2 = 60

3x = 120

[ x = 40 ]

There fore the angles are , x = 40 and x/2 + 30 = 20 + 30 = 50 .