Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. which congruence theorem can be used to prove that the triangles are congruent?

sss
aas
sas
hl

Having a certain triangle there are some cases of congruency:
SSS (side side side) All three corresponding sides are equal in length.
SAS (side angle side) A pair of corresponding sides and the included angle are equal.
ASA (angle side angle) where side is between the 2 angles
AAS (angle angle side) where side is not between the 2 angles

Obviously, the answer is AAS.