Question
Construct an angle of $120^\circ $ and bisect it.
✓
Answer
Steps of construction:
1. Draw a ray $QP.$
2. With $Q$ as the centre and any convenient radius, draw an arc cutting $QP$ at $N$.
3. With $N$ as the centre and the same radius, cut the arc at A. Again, with $A$ as the centre and the same radius, cut the arc at $M .$
4. Draw $Q M$ and produce it to $R$.
$\angle PQR$ is $120^{\circ}$.
5. With $M$ as the centre and radius more than half of $M N$, draw an arc.
6. With $N$ as the centre and the same radius mentioned in step $(5)$, draw another arc, cutting the previously drawn arc at point $X .$
7. Draw $Q X$ and produce it to point $S$.
Ray $QS$ is a bisector of $\angle PQR$. Ray $QS$ is a bisector of $\angle PQR$.
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