Question

properties of isosceles triangles (assignment)
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question
find m∠jke.
answer
m∠jke =

Explanation:

Step1: Identify triangle type

The triangle is isosceles, so $\overline{KJ} = \overline{KA}$, meaning $\angle KJA = \angle KAJ = 41^\circ$.

Step2: Sum of angles in triangle

The sum of angles in a triangle is $180^\circ$. Calculate $\angle AJK$:
$$\angle AJK = 180^\circ - 2\times41^\circ$$
$$\angle AJK = 180^\circ - 82^\circ$$
$$\angle AJK = 98^\circ$$

Step3: Relate to target angle

$\angle JKE$ is the same as $\angle AJK$ (they are the same angle).

Answer:

$98^\circ$