Question

With the help of a ruler and a pair of compasses, it is not possible to construct an angle of

• A. ${15}^{\circ }$
• B. ${75}^{\circ }$
• C. ${42.5}^{\circ }$
• D. ${105}^{\circ }$

Answer 1

The correct option is C ${42.5}^{\circ }$

${42.5}^{\circ }=\frac{1}{2}\times \left({85}^{\circ }\right)and{85}^{\circ }$ cannot be constructed using a ruler and a pair of compasses.