Question

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

Answer 1

let angle be x
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)

4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 = 3 1/3 x
x = 240 / 10/3 = 240 * 3/10 = 72 degrees Answer