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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