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 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.
$\therefore\ \angle\text{PQR}=\angle\text{AOB}$

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