Question

The angles is to be bisected to obtain an angle of ${90}^0$ is _____ .

• A. ${60}^0$ and ${45}^0$
• B. ${60}^0$ and ${120}^0$
• C. ${120}^0$ and ${180}^0$
• D. ${30}^0$ and ${60}^0$

Answer 1

The correct option is B ${60}^0$ and ${120}^0$

$\Rightarrow$ The angles is to be bisected to obtain an angle of ${90}^o$ is ${60}^o$ and ${120}^o$

$\Rightarrow$ The difference angle between ${60}^o$ and ${120}^o$ is ${60}^o$. So, when we bisect angle of ${60}^o$ we get ${30}^o$ angles each.

$\Rightarrow$ So, ${60}^o+{30}^o={90}^o$ or ${120}^o-{30}^o={90}^o$