In the parallelogram ABCD, ∠ Abe = ∠ CDF, it is proved that the quadrilateral BEDF is a parallelogram

In the parallelogram ABCD, ∠ Abe = ∠ CDF, it is proved that the quadrilateral BEDF is a parallelogram

Because the quadrilateral ABCD is a parallelogram
So ∠ ABC = ∠ CDA, AD / / BC (parallelogram diagonally equal)
Because ∠ Abe = ∠ CDF
Therefore, EBF = EDF
Because AD / / BC
Therefore, EBF = AEB
Therefore, EDF = AEB
So be / / DF
So the quadrilateral BEDF is a parallelogram