Question

Mark (✓) against the correct answer
An angle is one-fifth of its supplement. The measure of the angle is

(a) 30°
(b) 15°
(c) 75°
(d) 150°

Answer 1

$$\begin{gathered} \left(a\right)30° \\ \mathrm{Suppose}\mathrm{the}\mathrm{angle}\mathrm{is}x. \\ x=\frac{(180-x)}{5} \\ \Rightarrow 5x=180-x \\ \Rightarrow 5x+x=180 \\ \Rightarrow x=\frac{180}{6} \\ \Rightarrow x=30{°}^{} \end{gathered}$$