The Angle-side-angle postulate states that:
if two angles of a triangle and the side between them are congruent to two angles of another triangle and the side between them, then the two triangles are congruent.
In the image, there are indications that the triangles have two congruent angles and the respective sides between each pair of angles are also congruent.
Therefore, the triangles are congruent by the postulate Angle-side-angle, or just ASA.
Thus, option c is correct.