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QUESTION IMAGE

a (overline{jk}congoverline{je}) b (angle ljkcongangle fje) c (overline…

Question

a (overline{jk}congoverline{je}) b (angle ljkcongangle fje) c (overline{kl}congoverline{ef}) d (angle ljkcongangle fje) or (angle kcongangle e)

Explanation:

Step1: Analyze the given figure

We know that \(JL = JE\) (marked as equal), \(\angle JKL=\angle JEF = 90^{\circ}\) (right - angles). Also, \(\angle LJK\) and \(\angle FJE\) are vertical angles.

Step2: Use the vertical - angle property

By the vertical - angle theorem, if two angles are vertical angles, then they are congruent. So, \(\angle LJK\cong\angle FJE\).

Answer:

B. \(\angle LJK\cong\angle FJE\)