Steps of Construction-

1. Draw a line PQ and take a point O on it.

2. Taking O as centre and convenient radius, draw an arc which intersects PQ at A and B.

3. Taking A and B as centers and radius more than half of AB, draw two arcs which intersect each other at C.

4. Join OC. Thus, ∠COQ is the required right angle.

5. Taking B and E as centre and radius more than half of BE, draw two arcs which intersect each other at the point D.

6. Join OD. Thus, OD is the required bisector of ∠COQ.