Question

Draw an angle equal to angle AOB, given in the adjoining figure.
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Answer 1

Construction of an angle equal to angle AOB, given in the adjoining figure is as follows.

Steps of construction:

Draw a ray VU.

With O as the center and a radius of length one forth of the ray OA, draw an arc cutting OA and OB at C and D respectively.

With the same radius of above, from a point V draw an arc cutting VU at C.

With C as center and radius equal to CD, cut an arc at D.

Draw VD and produce it to point W.

Answer 2

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