Question

The supplement of an angle is six times its complement. The measure of this angle is
(a) 36°
(b) 54°
(c) 60°
(d) 72°

Answer 1

(d) 72°

Let the required angle be $x°$.
Then, measure of its supplement = $\left(180-x\right)°$ and
measure of its complement = $\left(90-x\right)°$.
$$\begin{gathered} \therefore 180-x=6\left(90-x\right) \\ \Rightarrow 5x=360° \\ \Rightarrow x=72° \end{gathered}$$