Final answer:
The similarity postulate or theorem that proves that △ EFG and △ HJK are similar is the Angle-Angle (AA) similarity theorem.
Step-by-step explanation:
The similarity postulate or theorem that proves that triangles △ EFG and △ HJK are similar is the Angle-Angle (AA) similarity theorem.
The Angle-Angle (AA) similarity theorem states that if two angles in one triangle are congruent to two angles in another triangle, then the triangles are similar.
In this case, the fact that both m∠ E and m∠ H are 25° indicates that the two triangles have two congruent angles, making them similar by the AA similarity theorem.