Question

With the help of a ruler and a 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 angles, ${90}^{\circ },{60}^{\circ },{45}^{\circ },{22.5}^{\circ },{30}^{\circ }$ etc. and its bisector of an angle. So, it is not possible to construct an angle of ${40}^{\circ }$.