Question
Using a pair of compasses construct the following angles: $120^\circ $

Answer


Steps for construction:
$i.\ $Draw a ray $QP.$
$ii.\ $With $Q$ as the centre and any convenient radius, draw an arc cutting $QP$ at $N.$
$iii.\ $With $N$ as the centre and the same radius, cut the arc at A. Again, with A as the centre and the same radius, cut the arc at $M$.
$iv.\ $Draw $QM$ and produce it to $R.$
$\angle\text{PQR}$ is the required angle of $120^\circ .$

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