Question

Question 1
Write True or False and give reasons for your answer:

An angle of ${52.5}^{\circ }$ can be constructed.

Answer 1

True

To construct an angle of ${52.5}^{\circ }$ first we need to construct an angle of ${90}^{\circ }$, then construct an angle of ${120}^{\circ }$ and then plot an angle bisector of ${120}^{\circ }$ and ${90}^{\circ }$ to get an angle ${105}^{\circ }$. Now, bisect angle ${105}^{\circ }$ to get an angle of ${52.5}^{\circ }$.