As shown in the figure, in quadrilateral ABCD, angle B is equal to angle D is equal to 90 degrees, CF bisects angle BCD. If AE is parallel to CF, please determine whether AE bisects angle bad

AE bisector bad
Proof: (as shown in the figure)
∵AE∥CF
The two lines are parallel and the same angle is equal
And ∠ 2 = ∠ 3 (angular bisection definition)
1 = ∠ 3 (equivalent substitution)
∵∠ B = ∠ d = 90 ° (known)
The remaining angles of equal angles are equal
Also AE ‖ CF
∴∠6=∠5
∴∠6=∠4
Ψ AF bisection ∠ bad

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