One of two supplementary angles is 35 times as large as the other. Find the measure of each angle.
A) 12 $^ { \circ }$ , 168 $^ { \circ }$
B) 8 $^ { \circ }$ , 172 $^ { \circ }$
C) 5 $^ { \circ }$ , 175 $^ { \circ }$
D) 2 $^ { \circ }$ , 178 $^ { \circ }$

Question

Quizplus · Accepted Answer

Let the smaller angle be x degrees. Then, the larger angle is 35x degrees. Since they are supplementary, their sum is 180 degrees: x + 35x = 180. Solving this equation gives x = 5 degrees, making the larger angle 175 degrees.

One of Two Supplementary Angles Is 35 Times as Large ∘^ { \circ }∘

One of Two Supplementary Angles Is 35 Times as Large $^ { \circ }$