If we can show that △ GLK≅ △ HNJ, then we know that GK ≅ HJ. Let's start by separating the triangles.
Since we know two pairs of congruent corresponding angles and a non-included congruent corresponding side, we can by the AAS Congruence Theorem prove that △ GLK≅ △ HNJ. Now we know that GK ≅ HJ since these are corresponding sides.
