Question

question
find ( mangle lkj ).

Explanation:

Step1: Identify the triangle type

Since two sides are marked as equal, $\triangle LKJ$ is isosceles. In an isosceles triangle, base - angles are equal. So, $m\angle J=m\angle L = 60^{\circ}$.

Step2: Use the triangle - angle sum theorem

The sum of angles in a triangle is $180^{\circ}$. Let $m\angle LKJ=x$. Then $x + m\angle J+m\angle L=180^{\circ}$. Substitute $m\angle J = 60^{\circ}$ and $m\angle L = 60^{\circ}$ into the equation: $x+60^{\circ}+60^{\circ}=180^{\circ}$.

Step3: Solve for $x$

Simplify the left - hand side of the equation: $x + 120^{\circ}=180^{\circ}$. Subtract $120^{\circ}$ from both sides: $x=180^{\circ}-120^{\circ}=60^{\circ}$.

Answer:

$m\angle LKJ = 60^{\circ}$