if an angle is 30° more than one half of its complement,find the measure of the angle
Let us assume that the angle is x. Then,its complement will be 90-x. 30 degree more than one half of its complement, i.e 30+(90-x)/2 According to the sum, x=30+(90-x)/2 x=60+90-x/2 x=150-x/2 2x=150-x 3x=150 x=50 . Hence the angle is 50.