4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the measure of the angle?

Let x be the angle

Complement of x is (90 degrees-x)

Supplement of x is (180 degrees-x)

4• (90-x) = 2/3 (180-x)

3•4 (90-x) = 2 (180-x)

1080-12x=360-2x

1080-360=12x-2x

720=10x

720/10 = x

So x = 72 degrees