Not enough information, either AC and DF length or angles B and E are required to determine the relation.

What About angle F and C. the opposite side is Y shouldn’t it always be the same. Angle F = Angle C.

Shouldn’t that say the last remaining angle is equal Angle B= Angle E

does it not satisfy the property of Angle, Angle , Angle Making both the triangle Same and the area same.

That only works for the same triangle; this is about two different triangles.