find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30 degrees

Answer 1

the angle is x

the supplement is 180 - x

the complement is 90 - x

180 - x - 4(90 - x) = 30

180 - x - 360 + 4x = 30

3x - 180 = 30

3x = 210

x = 70

the angle is 70

the supplement is 110

the complement is 20

110 - 4(20) = 110 - 80 = 30

the angle is 70