Draw an angle of 45^ , using a pair of compasses. - Vidyadip

Question

Draw an angle of $45^\circ ,$ using a pair of compasses.

✓

Answer

Steps of constructions:
$1.$Draw a ray $OA.$
$2.$With centre $O$ and a suitable radius draw an arc meeting $OA$ at $E.$
$3.$With centre $E$ and with same radius, cut the first arc firstly at $F$ and then from $F$ with same radius cut act at $G.$
$4.$With centres $F$ and $G,$ with suitable radius, draw arcs intersecting each other at $H.$
$5.$Join $OH$ intersecting the first arc at $L$ and produce it to $C.$
$6.$With centre $E$ and $L$ and with suitable radius draw arcs intersecting each other at $M.$
$7.$Join $OM$ and produce it to $B.$
Then, $\angle\text{AOB}=45^\circ$

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