Angles — Maths STD 6 — Question

Step 1:
Draw $\angle ABC$ of $60^{\circ}$.

Step 2:
Cut arcs on the rays BA and BC. Name these points as D and E respectively.

Step 3:
Place the compass point on point D and draw an arc inside the angle.
Without changing the distance of the compass, place the compass point on point E and cut the previous arc. Name the point of intersection as O

Step 4:
Draw ray BO.
Ray $BO$ is the angle bisector of $\angle ABC$.
i.e. $m \angle A B O=m \angle C B O=30^{\circ}$