Question
Draw an angle and label it as $\angle\text{BAC}.$ Construct another angle, equal to $\angle\text{BAC}.$

Answer

Draw an angle $\angle\text{BAC}$ also draw a ray OP.
With a suitable radius and A as center, draw an arc intersecting AB and AC at X and Y, respectively.
With the same radius and O as center, draw an arc to intersect the arc OP at M.
Measure XY using the compass.
With M as centre and radius equal to XY, draw an arc to intersect the arc drawn from O at N.
Join 0 and N and extend it to Q.
$\angle\text{POQ}$ is the required angle.

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