Answer: ΔJKN ≅ ΔNKL by SAS
Explanation:
We are asked to find what congruence theorem proves that these triangles are congruent. Here, we are given two congruent sides and a congruent vertical angle.
Since we are given two congruent sides and one congruent angle, we can rule out SSS (side-side-side), ASA (angle-side-angle), and AAS (angle-angle-side). This leaves us with the correct answer option, SAS (side-angle-side).
ΔJKN ≅ ΔNKL by SAS