According to the ASA Congruence Theorem, if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
Examining the diagram, we see that the triangles share a side, LN. By the Reflexive Property of Congruence, we know these sides are congruent.
Now we have enough information to claim congruence by the ASA Congruence Theorem because we have two sets of congruent angles and a set of congruent corresponding included sides.
