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

Answer


Steps of construction:
$1.$ Draw an $\angle ABC$ and a line segment $QR.$
$2.$ With center $A$ and any radius, draw an arc which intersects $\angle\text{BAC}$ at $E$ and $D$.
$3.$ With $Q$ as a centre and same radius draw an arc which intersects $QR$ at $S.$
$4.$ With $S$ as center and radius equal to $DE$, draw an arc which intersects the previous arc at $T$.
$5.$ Draw a line segment joining $Q$ and $T.$
Therefore $\angle\text{PQR}=\angle\text{BAC} $

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