Question

If we want to construct an angle of ${7.5}^{\circ }$,how many times should we do angular bisection and what are the angles that we should bisect? Explain.

Answer 1

We should do angular bisection 3 times here.

First we have to construct the ${60}^{\circ }$ angle. When we bisect that angle, we get ${30}^{\circ }$. That is the first angle bisection.

We can bisect the ${30}^{\circ }$ angle to get ${15}^{\circ }$, which is the 2nd angular bisection.

We can further bisect the ${15}^{\circ }$ angle to get ${7.5}^{\circ },$ which is the 3rd angular bisection.