Question

Joe was asked to draw an angle of 22.5 degree using a compass. What possible methods he could have used

• A. Bisecting the angles ${10}^{\circ }$ and ${35}^{\circ }$
• B. Bisecting the angle ${45}^{\circ }$
• C. Impossible to construct
• D. None of these

Answer 1

The correct option is B

Bisecting the angle ${45}^{\circ }$

22.5 degree angle is the bisector of 45 degree angle.
So, on bisecting 45 degrees we get 22.5 degree angle.

Even though $\frac{10+35}{2}=22.5$ degrees we cannot construct ${10}^{\circ }$ and ${35}^{\circ }$directly using compass .