Question

the measure of an angle is five degrees greater than six times its supplement. what is the measure of the larger angle?

Answer 1

Let the measure of the smaller angle be x, then the larger angle is 5 + 6x and
x + 5 + 6x = 180
7x + 5 = 180
7x = 180 - 5 = 175
x = 175/7 = 25

The larger angle is 5 + 6(25) = 5 + 150 = 155 degrees.