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?

Answer: x=72

Step-by-step explanation:

let the angle be x.

then

complement of that = 90-x

so, 4 times of complement = 4 (90-x)

2/3 of original angle's supplement = 2/3 (180-x)

so,

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

cross multiply:

12 (90-x) = 360 - 2x

12*90 - 12x = 360 - 2x

1080 - 360 = 12x-2x

720 = 10x

x = 72.

is the answer.