Question
Draw an angle of measure $135^\circ $ and bisect it.

Answer


The below given steps will be followed to construct an angle of $135^\circ $and its bisector.
$1.\ \text{DPOQ}$ of $135^\circ $ measure can be formed on a line l by using the protractor.
$2.$Draw an arc of a convenient radius, while taking point $O$ as centre. Let it intersect both rays of angle $135^\circ $ at point $A $ and $B.$
$3.$Taking $A$ and $B$ as centres, draw arcs of radius more than $\frac{1}{2}$AB in the interior of angle of $135^\circ .$ Let those intersect each other at $C.$ Join $OC.$
$OC$ is the required bisector of $135^\circ $ angle.

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