Question

With the help of ruler and compass, it is not possible to construct an angle of:

• A. ${37.5}^{\circ }$
• B. ${40}^{\circ }$
• C. ${22.5}^{\circ }$
• D. ${67.5}^{\circ }$

Answer 1

The correct option is B ${40}^{\circ }$

With the help of a ruler and a compass, we can construct the angels, ${90}^{\circ },{60}^{\circ },{45}^{\circ },{22.5}^{\circ },{30}^{\circ },etc.$

i.e., the multiples of ${15}^{\circ }$ and its bisector of an angle.

So, it is not possible to construct an angle of ${40}^{\circ }$