If the measure of an angle is 4 times the measure of a supplementary angle, what is the measure of each angle?

Answer 1

Greetings! Lets solve this shall we ?

Supplementary Angle = (180 - x)

Measure of an Angle = x

Let the measure of one angle be x and let 4 times a supplementary angle be 4(180-x). The translation for this statement yields,

If the measure of an angle is 4 times the supplementary angle

x = 4(180-x).................Now we solve for x by Distributing the 4 in first such that

x = 720 - 4x...............Then add 4x to the other side such that

5x = 720.............Then divide 5 such that

x = 144°

Then the other angle is (180 - 144) = 36°

I hope this helped!