As shown in the figure, in the parallelogram ABCD, e and F are the points on AB and CD respectively, and AE = CF, connect BF and De, and try to guess the size relationship between ∠ ade and ∠ CBF prove

As shown in the figure, in the parallelogram ABCD, e and F are the points on AB and CD respectively, and AE = CF, connect BF and De, and try to guess the size relationship between ∠ ade and ∠ CBF prove

∠ADE = ∠CBF
prove:
The opposite sides of parallelogram are equal
∴AD=BC
Parallelogram is equal to vertex angle
∴∠A=∠C
AE=CF
■ △ ade congruent △ CBF
∴∠ADE = ∠CBF