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Using ruler and compasses only, draw an angle of measure $135^o$.
To do:
We have to draw an angle of measure $135^o$ using a ruler and compasses only.
Solution:
Steps of construction:
(i) Draw a line $DC$ and take a point $B$ on it.
(ii) With centre $B$ and a suitable radius draw an arc meeting $BC$ at $P$.
(iii) With centre $P,$ cut off arcs $PQ, QR$ and $RS$.
(iv) Bisect as $QR$ at $T$ and join $BT$ and produce it to $E$.
(v) Bisect the arc $KS$ at $RL$.
(vi) Join $BL$ and produce it to $A$.
Therefore,
$\angle ABC = 135^o$.
Updated on: 10-Oct-2022
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