Question

in $\triangle klm$, $\overline{kl} \cong \overline{mk}$ and $m\angle m = 60^{\circ}$. find $m\angle l$.

Explanation:

Step1: Identify triangle type

$\triangle KLM$ is isosceles with $\overline{KL} \cong \overline{MK}$, so the angles opposite these sides are congruent. The angle opposite $\overline{KL}$ is $\angle M$, and the angle opposite $\overline{MK}$ is $\angle L$.

Step2: Set congruent angles equal

Since $\angle M \cong \angle L$, their measures are equal. Given $m\angle M = 60^\circ$, then $m\angle L = m\angle M$.

Answer:

$60^\circ$