can you help me on this please i need it right.

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Explanation:
We have two pairs of angles that are congruent
So that takes care of the two "A"s in "AAS".
The "S" refers to JL = JL being the pair of congruent sides. The sides perfectly overlap and we use the reflexive property here. The reflexive property says that any segment is congruent to itself.
Keep in mind we aren't using ASA because the congruent sides are not between the congruent angles.