Question
Construct the angle with the help of ruler and compasses only: $135^\circ $
✓
Answer
Draw the line $AB$ and take the point $O$ at the middle of $AB.$ With a convenient radius and centre at $O,$ draw an arc, which cuts $AB$ at $P$ and $Q,$ respectively. Draw an angle of $90^\circ $ on the ray $OB$ as $\angle\text{BOC}=90^{\circ},$ where ray $OC$ cuts the arc at $R.$ With $Q$ and $R$ as centres and radius more than half of $QR,$ draw two arcs, which cuts each other at $S.$ Draw $OS$ and extend it to form the ray $OD.$
$\angle\text{BOD}$ is required angle of $135^\circ .$
$\angle\text{BOD}$ is required angle of $135^\circ .$
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