Two angels are supplementary. One angel is 27 more than five times the other angel. find the measures and let x and y represent the angels.

Question

Two angels are supplementary. One angel is 27 more than five times the other angel. find the measures and let x and y represent the angels.

Answer 1

Let's assume we are talking about angles and not angels. :)

Let x = the measure of the smaller angle

Let 5x + 27 = the measure of the large angle

x + 5x + 27 = 180

6x = 153

x = 25.5 degrees

5x + 27 = 127.5 + 27 = 154.5 degrees