Question

Construct an angle of 67.5° by using the ruler and compasses.

Answer 1

Steps of Construction:
1. Draw a line TS.
2. Construct $\angle$POS = 90°.
3. Draw OQ, bisector of $\angle$POT. Thus, $\angle$QOS = 135$°$ is obtained.
4. Draw the bisector of $\angle$QOS.
5. $\angle$ROS thus obtained is equal to 67.5°.