Question

Draw an angle equal to ${120}^{\circ }$. Draw the bisector of this angle.

Answer 1

Steps of construction

Step 1. Draw a ray $OA$ with suitable length.

Step 2.Taking a suitable radius and $O$ as centre draw an arc which intersect ray $OA$ at point say point $P$.

Step 3.Without disturbing the radius take $P$ as a centre and draw an arc which intersect the previous arc at a point say $R$.

Step 4.Now taking $R$ as centre with the same radius draw an arc which intersects the previous arc at a point say $Q$.

Step 5.Join $OandQ$ and produce it to $B$.

Thus $\angle AOB$ is the required angle of measure $120°$.

Step 6. Now increase the few more cm length of the radius and taking $PandQ$ as centre draw an arc in between the angle. These arcs will intersects at a point say point $T$.

Step 7. Now join $OandT$ and produces to $U$ . This $OU$ is the angle bisector of the given angle.