Question

To draw an angle of ${150}^0$ using a pair of compass and ruler_____ .

• A. Bisect angle between ${120}^0$ and ${180}^0$
• B. Bisect angle between ${60}^0$ and ${120}^0$
• C. Bisect angle between $0^0$ and ${160}^0$
• D. None of these

Answer 1

The correct option is A Bisect angle between ${120}^0$ and ${180}^0$

$\Rightarrow$ To draw an angle of ${150}^o$ using a pair of compass and ruler $Bisectanglebetween{120}^{o}and{180}^o$.

$\Rightarrow$ The difference angle between ${120}^o$ and ${180}^o$ is ${60}^o$. So, when we bisect angle of ${60}^o$ we get ${30}^o$ angles each.

$\Rightarrow$ So, ${120}^o+{30}^o={150}^o$