Question
Draw an angle of $40^\circ .$ Copy its supplementary angle.
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Answer
The below given steps will be followed to construct an angle of $40^\circ $ measure and the copy of its supplementary angle.
$1.$Draw a line segment $\overline{\text{PQ}}$ and mark a point $O$ on it. Place the centre of the protractor at point $O$ and the zero edge along line segment$\overline{\text{PQ}}$.
$2.$Mark a point $A $ at $40^\circ $. Join $OA. OA$ is the required ray making $40^\circ $ with $\overline{\text{PQ}}$. $Ð$
$POA$ is the supplementary angle of $40^\circ .$
$3.$Draw an arc of convenient radius in the interior of $Ð\ POA,$ while taking point $O$ as centre. Let it intersect both rays of $Ð\ POA$ at point $B$ and $C.$
$4.$Draw a line m and mark a point $S$ on it. With the same radius as used before, again draw an arc while taking point $S$ as centre. Let it cut the line m at point $T.$
$5.$Now, adjust the compasses up to the length of $BC.$ With this radius, draw an arc while taking $T$ as centre, which will intersect the previously drawn arc at point $R.$
$6.$Join $RS. RS$ is the required ray which makes the same angle with line $m,$ as the supplementary of $40^\circ $ is $140^\circ .$
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