Question

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

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

Answer 1

The correct option is B

${40}^{\circ }$

An $\angle {40}^{\circ }$ is not possible to construct with a compass and ruler

The angles given in other options are possible to construct by bisecting $\angle {90}^{\circ }$.

That is possible by using ruler and compass.