Question

The difference in the measures of two supplementary angles is 117°. Find the measure of the angles.

Answer 1

Answer:

148.5° and 31.5°

Step-by-step explanation:

Let the greater number be x and smaller number be y

∴ x + y = 180° (supplementary angles)

∴ x - y = 117°

By adding both equations

   x+y = 180

+ x-y = 117

   2x = 297

∴ x = $\frac{297}{2}$ = 148.5

By substituting x in the firs equation we get

148.5 + y = 180

∴ y = 180 - 148.5 = 31.5

∴ The two angles are 148.5 and 31.5