Your Answer is

Correct Answer is F

Explanation

It can be seen from the meaning of the title that the trapezoid ABCD is an isosceles trapezoid, so AB//DC, so ∠ABE=∠CDE, and ∠AEB=∠CED, so △AEB and △DEC are similar, and their ratio is AB/DC= x/y, so AE/DE=x/y,