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

72 degrees.

Step-by-step explanation:

If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.

4(90-x) = 2/3(180 - x)

360 - 4x = 120 - 2/3 x

360 - 120 = -2/3 x + 4x

240 = -2/3 + 12/3 x

240 = 10/3 x

x = 240 * 3/10

x = 72 degrees.