Which of the following statements is true?
a. the triangles are congruent by the sas congruence postulate
b. the triangles are congruent by the asa congruence postulate
c. the triangles are congruent by the aas congruence postulate
d. the triangles are congruent by the sss congruence postulate
( explain)

The triangles are congruent by AAS (angle-angle-side).
This becomes clearer when you mark the information it gives you on the diagram, like I've done in the attached image.

If the congruent side was between the two angles, the triangles would be congruent by ASA. Since the graph clearly shows two congruent angles next to each other, and then a congruent side, the answer is AAS.

I hope this helps!

Lol do you plan on breaking that record? : )