Question
Using a pair of compasses construct the following angles: $90^\circ $
✓
Answer
Steps for construction:
$i.\ $Draw a line $PX.$
$ii.\ $Take a point $Q$ on $AC.$ With $Q$ as the centre and any convenient radius, draw an arc cutting $AX$ at $M$ and $N.$
$iii.\ $With $N$ as the centre and radius more than half of $MN$, draw an arc.
$iv.\ $With $M$ as the centre and the same radius as before, draw another arc to cut the previous arc at $W.$
$v.\ $Draw $QW$ produce it to $R.$
$\angle\text{PQR}$ is required angle of $90^\circ .$
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