name the postulate or theorem you can use to prove the triangles

SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Theorem 12.2: The AAS Theorem. If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
CONCLUSION:
The final answer is:
[tex]AAS\text{ Theorem \lparen OPTION D \rparen}[/tex]