Question

find m∠jlk.

Explanation:

Step1: Identify the triangle type

Since two sides of the triangle are marked as equal, it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, \(m\angle L = m\angle K\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(m\angle JLK=x\). We know \(m\angle K = 58^{\circ}\), and \(m\angle L=m\angle K = 58^{\circ}\) (isosceles triangle property). Then, using the formula \(x + 58^{\circ}+58^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(58^{\circ} + 58^{\circ})$$

$$x=180^{\circ}-116^{\circ}$$

$$x = 64^{\circ}$$

Answer:

\(64\)