Question
Construct with ruler and compasses, angles of measure: $90^\circ $
✓
Answer
The below given steps will be followed to construct an angle of $90^\circ .$
$1.$Draw a line $l$ and mark a point $P$ on it. Now taking $P$ as centre and with a convenient radius, draw an arc of a circle which intersects line $l$ at $Q.$
$2.$Taking $Q$ as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at $R.$
$3.$Taking $R$ as centre and with the same radius as before, draw an arc intersecting the arc at $S ($see figure$).$
$4.$Taking $R$ and $S$ as centre, draw an arc of same radius to intersect each other at $T.$
$5.$ Join $PT,$ which is the required ray making $90^\circ $ with line $l.$
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