#1 Find the measure of an angle whose complement measures 30 degrees less than half its supplement.?

Question

#2 Find the measure of an angle such that the difference between the measure of the angle and the measure of its complement is 28 degrees.

Answer 1

let x be the measure of the angle
#1
90 - x = 1/2(180 - x) - 30
90 - x = 90 - x/2 - 30
x = 60

#2
x - (90-x) = 28
2x = 118
x = 59