Question

The complement of an angle is double of itself . Determine the angle and its complement ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{angle}=x \\ \mathrm{complement}\mathrm{of}\mathrm{the}\mathrm{required}\mathrm{angle}=2x \\ \mathrm{now},\mathrm{according}\mathrm{to}\mathrm{the}\mathrm{given}\mathrm{condition}, \\ x\mathit{}+2x=90° \\ \Rightarrow 3x=90° \\ \Rightarrow x\mathit{}=30 \\ \mathrm{so},\mathrm{required}\mathrm{angle}=30° \\ \mathrm{complement}\mathrm{of}\mathrm{the}\mathrm{required}\mathrm{angle}=2\times 30=60° \end{gathered}$$