Question

Question 1
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

(B) ${40}^{\circ }$

With the help of a ruler and a compass, we can construct the angles, ${135}^{\circ },{90}^{\circ },{75}^{\circ },{60}^{\circ },{45}^{\circ },{22.5}^{\circ },{30}^{\circ }$ etc. and their corresponding bisectors, but it is not possible to construct an angle of ${40}^{\circ }$.