A Math Problem, Please HELP?

Question

Find the measures of the angle, its complement, and its supplement if four times the complement equals 2/3 of the supplement.

We're now studying about angles. Please help. I cant understand how it works. Please put your solution.

Answer 1

X is the angle, the complement would be (90-X), and the supplement would be (180-X)

4*(90-X) = 2*(180-X) / 3

360 - 4X = (360 - 2 X) / 3

360 - 12/3(X) = 120 - 2/3(X)

240 = 10/3(X)

720 = 10 X

X = 72