Question
Draw an angle equal to $\triangle\text{AOB},$ given in the adjoining figure.
✓
Answer
Here $\angle\text{AOB}$ is given.
Steps for construction:
1. Draw a ray $QP.$
2. With $O$ as the centre and any suitable radius, draw an arc cutting $O A$ and $O B$ at $C$ and $E$, respectively.
3. With $Q$ as the centre and the same radius as in step $(2),$ draw an arc cutting $QP$ at $D.$
4. With $D$ as the centre and radius equal to $C E$, cut the arc through $D$ at $F$.
5. Draw $Q F$ and produce it to point $R$.
$\therefore\ \angle\text{PQR}=\angle\text{AOB}$
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