Question

Construct an angle of ${30}^o$ using compass.

Answer 1

1) Draw a line segment PQ

2) Draw an arc at point P of any length, the arc cuts the line segment PQ at S

3) Draw an arc from point S

4) This cut the previous at point T, angle TPS is 60 degrees

5) Draw two arcs from points S and T

6) These arcs cut each other at point R

7) Join P to R

8) PR is the bisector of Angle TPS

$⟹\angle RPS$ is ${30}^{\circ }$

Hence the required construction is completed.