Question

Draw an angle of measure $135°$ and bisect it.

Answer 1

Steps to construct an angle of measure 135° and its bisector are:

• On a line $l$, using a protractor measure $\angle POQ={135}^{°}$
• Draw an arc of convenient radius by taking $O$ as centre. Let this intersect both rays of angle $135°$ at points $A$ and $B$, respectively.
• Take $A$ and $B$ as centres, draw arcs of radius more than half of $AB$ in the interior of angle of $135°$. Let these intersect each other at $C$. Join $OC$
• Thus, $OC$ is the required bisector of angle $135°$.