Question

Is it possible to construct an angle of 52.5${}^{\circ }$ with the help of compass and ruler? State with true or false.

• A. True
• B. False

Answer 1

The correct option is A

True

To construct an angle of 52.5${}^{\circ }$ firstly 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${}^{\circ }$(90${}^{\circ }$​ + 15${}^{\circ }$​). Now, bisect this angle to get an angle of 52.5${}^{\circ }$​.