Question

Mark (✓) against the correct answer
An angle is 24° more than its complement. The measure of the angle is

(a) 47°
(b) 57°
(c) 53°
(d) 66°

Answer 1

$$\begin{gathered} \left(b\right)57° \\ S\mathrm{uppose}\mathrm{the}\mathrm{angle}\mathrm{is}\mathrm{x}. \\ x=90-x+24 \\ \Rightarrow x+x=114 \\ \Rightarrow 2x=114 \\ \Rightarrow x=\frac{114}{2} \\ \Rightarrow x=57{°}^{} \end{gathered}$$