Question
Construct the angle with the help of ruler and compasses only: $30^\circ $
✓
Answer
Draw a ray $OA.$ With a convenient radius and centre at $O,$ draw an arc, which cuts $OA$ at $P.$ With the same radius and centre at $P,$ draw an arc cutting the previous arc at $P.$ Taking $P$ and $Q$ as centres and radius more than half of $PQ,$ draw two arcs, which cuts each other at $R.$ Draw $OR$ and extend it to $B.$
$\angle\text{AOB}$ is the required angle of $30^\circ .$
$\angle\text{AOB}$ is the required angle of $30^\circ .$
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