Question
Use a pair of compasses and construct the following angles: $150^\circ $

Answer


Steps of Construction:
$1.$Draw a ray $OA.$
$2.$With $O$ as centre and any suitable radius draw an arc cutting $OA$ at $G.$
$3.$With $G$ as centre and same radius cut the arc at $B$ and then $B$ as centre and same radius cut the arc at $C.$ Again, with $C$ as centre and same radius cut the arc at $D.$
$4.$With $C$ as centre and radius more than half $CD$ draw an arc.
$5.$With $D$ as centre and same radius draw another arc to cut the previous arc at $E.$
$6.$Join $OE$ and produce it to $F.$
Then, $\angle\text{AOF}=150^\circ.$

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