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 difference between its supplement and 3 times its complement is 6°.
A) $24 ^ { \circ }$
B) $48 ^ { \circ }$
C) $152 ^ { \circ }$
D) $76 ^ { \circ }$

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 difference between its supplement and 3 times its complement is 6°. 
A) $24 ^ { \circ }$
B) $48 ^ { \circ }$
C) $152 ^ { \circ }$
D) $76 ^ { \circ }$

Quizplus · Accepted Answer

The supplement of an angle $x$ is $180 - x$ degrees, and the complement is $90 - x$ degrees. The equation based on the given problem is $180 - x - 3(90 - x) = 6$. Solving this equation gives $x = 48$ degrees.

Choose the One Alternative That Best Completes the Statement or Answers