Question

An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Smaller angle = 53.2

Larger angle = 126.8

Explanation:

Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this
`x + (x-73.6) = 180`. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.