Use an algebraic approach to solve the problem. If the complement of an angle is 9^o less than one-fourth of its supplement, find the measure of the angle. A) 72^o B) 70^o C) 60^o D) 66^o E) 64^o

Question

Quizplus · Accepted Answer

Let the angle be $x$. The complement is $90 - x$ and the supplement is $180 - x$. According to the problem, $90 - x = \frac{1}{4}(180 - x) - 9$. Solving this equation gives $x = 72$.

Use an Algebraic Approach to Solve the Problem