The measure of an angle is forty-four times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Let x be the measure of the smaller angle.

The supplementary angle to the smaller angle is 180 - x.

According to the given condition, the measure of the angle is 44 times the measure of its supplementary angle:

x = 44(180 - x)

x = 7920 - 44x

45x = 7920

x = 176

Therefore, the smaller angle is 176 degrees and the supplementary angle is 180 - 176 = 4 degrees.