Question
Construct with ruler and compass, angle of measure $60^\circ .$
✓
Answer
$i.\ $Construction of an angle of measure $60^\circ .$
$ii.\ $Draw a line $\overleftrightarrow {PQ}$ and mark a point $O$ on it.
$iii.\ $Place the pointer of the compasses at $O$ and draw an arc of convenient radius which cuts the line $PQ$ at a point say $A.$
$iv.\ $With the pointer at $A ($as centre$),$ now draw an arc that passes through $O.$
$v.\ $Let the two arcs intersect at $B.$ Join $OB.$ We get $\angle BOA$ whose measure is $60^\circ .$
$ii.\ $Draw a line $\overleftrightarrow {PQ}$ and mark a point $O$ on it.
$iii.\ $Place the pointer of the compasses at $O$ and draw an arc of convenient radius which cuts the line $PQ$ at a point say $A.$
$iv.\ $With the pointer at $A ($as centre$),$ now draw an arc that passes through $O.$
$v.\ $Let the two arcs intersect at $B.$ Join $OB.$ We get $\angle BOA$ whose measure is $60^\circ .$
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