Question

find ( mangle ljk ).
answer attempt 1 out of 2
( mangle ljk = square^circ )
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Explanation:

Step1: Identify triangle type

Triangle $\triangle JLK$ is isosceles, since $\overline{JK} = \overline{LK}$ (marked by congruent tick marks). In an isosceles triangle, angles opposite congruent sides are equal. So $\angle LJK = \angle JLK$.

Step2: Sum of triangle angles

The sum of interior angles in a triangle is $180^\circ$. Let $m\angle LJK = x$. Then:
$$x + x + 48^\circ = 180^\circ$$

Step3: Solve for x

Combine like terms and isolate $x$:
$$2x = 180^\circ - 48^\circ$$
$$2x = 132^\circ$$
$$x = \frac{132^\circ}{2} = 66^\circ$$

Answer:

$66$