Answer: LA and AAS
Step-by-step explanation:
In the given picture , we have two angles and one non-included side is given to be congruent.
LA theorem says that if the leg and an acute angle of a right triangle are congruent to the corresponding leg and acute angle of other right triangle then the triangles are said to be congruent.
AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of other triangle then the triangles are said to be congruent.
Thus the congruence theorems could be given as reasons why LMN is congruent to OPQ are :-
LA and AAS
SAS , HL, LL need two equal corresponding sides, which is missing here.
ASA postulate needs included side between two equal corresponding angles.
