### Theory:

The angle bisector is formed when a line or line segment divides an angle into two equal parts.

Follow the below steps, construct the bisector of the $$∠ABC$$ with the measure $$60°$$.

Step 1: Draw the given angle $$∠ABC$$ with the measure $$60°$$ using the protractor.

Step 2: Taking $$A$$ as centre and convenient radius, draw an arc to cut $$AB$$ and $$AC$$. Mark the points of intersection as $$E$$ on $$AB$$ and $$F$$ on $$AC$$.

With the same radius and $$E$$ as centre, draw an arc in the interior of $$∠CAB$$ and another arc of same measure with centre at $$F$$ to cut the previous arc.

$$AG$$ is the required bisector of the given angle $$∠CAB$$.

Mark the point of intersection as $$G$$. Draw a ray $$AX$$ through $$G$$.