Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-Find the measure of an angle such that the sum of the measures of its complement and its supplement is 174°.
A) $43 ^ { \circ }$
B) $48 ^ { \circ }$
C) $6 ^ { \circ }$
D) $3 ^ { \circ }$

Question

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-Find the measure of an angle such that the sum of the measures of its complement and its supplement is 174°. 
A) $43 ^ { \circ }$
B) $48 ^ { \circ }$
C) $6 ^ { \circ }$
D) $3 ^ { \circ }$

Quizplus · Accepted Answer

The complement of an angle is 90 degrees minus the angle, and the supplement is 180 degrees minus the angle. If x is the angle, then its complement is $90 - x$ and its supplement is $180 - x$. The sum of the complement and supplement is $270 - 2x = 174$. Solving for x, $2x = 96$, so $x = 48$.

Choose the One Alternative That Best Completes the Statement or Answers