Question

question
find $m\angle lkj$.
answer
$m\angle lkj = $

Explanation:

Step1: Identify triangle type

The tick marks on $\overline{KJ}$ and $\overline{KL}$ mean $KJ = KL$, so $\triangle KJL$ is isosceles with $\angle J = \angle L$.

Step2: State $\angle J$ measure

Given $m\angle L = 60^\circ$, so $m\angle J = 60^\circ$.

Step3: Calculate $\angle LKJ$

Use triangle angle sum: $m\angle LKJ = 180^\circ - m\angle J - m\angle L$

$$\begin{align*} m\angle LKJ &= 180^\circ - 60^\circ - 60^\circ \\ &= 60^\circ \end{align*}$$

Answer:

$60^\circ$