Question

Draw an angle equal to ∠AOB, given in the adjoining figure.

Answer 1

Here ∠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 OA and OB 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 CE, cut the arc through D at F.
5. Draw QF and produce it to point R.
∴ ∠PQR = ∠AOB