The two triangles are related by AAS , so the triangles are congruent
Congruent triangles are triangles with equal corresponding angles and equal corresponding sides.
In the diagram above the two triangles are equal because a congruent side is given to be equal and two congruent angles are given to be equal.
This postulate is AAS i.e Angle Angle Side relationship.
Therefore, the relationship between the two triangles is Angle Angle Side and so the triangles are congruent.