Final answer:
The Side-Angle-Side (SAS) Congruence Theorem can be used to prove the congruence of the pair of triangles.
Step-by-step explanation:
The theorem that could be used to prove the congruence of the pair of triangles is the Side-Angle-Side (SAS) Congruence Theorem. This theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. To prove the congruence, you would need to show that the corresponding sides and angles of the triangles are congruent using the given information.