Question

Draw the circumcircle of $△KLM$ in which $LM=7cm,\angle L={60}^{\circ },\angle M={55}^{\circ }$.

Answer 1

Draw a line making $60°$ with $LM$ through $L$.

Similarly draw a line through $M$ making $55°$ with $LM$.

They meet at $K$.

Draw perpendicular bisectors of $KL$ and $KM$ and let them intersect at $O$.

With centre as $O$ and radius $OM$, draw the circumcircle of $△KLM$.