which congruent theorem would prove these triangles congruent ??

Answer:
[tex]\huge\boxed{\sf AAS\ postulate}[/tex]
Step-by-step explanation:
The two triangles have:
So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).
[tex]\rule[225]{225}{2}[/tex]