Question
Using ruler and compasses, construct the following angle:
180°

Answer

Steps of Construction :
(i) Draw a line segment $B C$.
(ii) With centre $B$ and some suitable radius draw arc meeting $B C$ at $P$.
(iii) With centre $P$ and with same radius cut of $\operatorname{arcs} P Q, Q R$ and then RS.
(iv) Join $B S$ and produce it to $A$.
Then $\angle A B C=180^{\circ}$.

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