Question
Draw an angle of $40^\circ$. Copy its supplementary angle.
✓
Answer
In order to make the copy of the required angle of $40$ degree, we proceed as follows:
Step $1:$ Draw any arbitrary line $AB$ and with the help of a compass draw its bisector $CD.$
Step $2:$ Measure $AE$ and draw a quarter arc with the compass placing on $A.$ Repeat for $EB.$
Step $3:$ With the same measurement draw an arc from $E.$ Join $H$ and $I.$ mark the intersection of $CD$ and $HI$ as $J.$ Join $AJ.$ Measure angle $JAB.$
Supplementary angle:
Step $1:$ Extend $BA$ to $K.$ From $E,$ draw an arc of any radius on the supplement of $40^\circ$.
Step $2:$ Draw another line $OP$ and using the compass with the above length draw an arc with $O$ as centre.
Step $3:$ Measure $ML$. Draw an arc from $Q$ with the measurement of $ML.$ Join to form $OT.$ Measure angle $TOP = 135^\circ$.
Step $1:$ Draw any arbitrary line $AB$ and with the help of a compass draw its bisector $CD.$
Step $2:$ Measure $AE$ and draw a quarter arc with the compass placing on $A.$ Repeat for $EB.$
Step $3:$ With the same measurement draw an arc from $E.$ Join $H$ and $I.$ mark the intersection of $CD$ and $HI$ as $J.$ Join $AJ.$ Measure angle $JAB.$
Supplementary angle:
Step $1:$ Extend $BA$ to $K.$ From $E,$ draw an arc of any radius on the supplement of $40^\circ$.
Step $2:$ Draw another line $OP$ and using the compass with the above length draw an arc with $O$ as centre.
Step $3:$ Measure $ML$. Draw an arc from $Q$ with the measurement of $ML.$ Join to form $OT.$ Measure angle $TOP = 135^\circ$.
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