如图,四边形ABCD中,连结AC.下列说法正确的是( ).


A.若AB∥CD,则∠1=∠2 |
B.若AD∥BC,则∠3=∠4 C. 若∠1=∠2,则AD∥BC |
C.若∠1=∠2,则AB∥CD |
(1)请在横线上填写合适的内容,完成下面的证明:如图1,AB∥CD,求证:∠B+∠D=∠BED.证明:过点E引一条直线EF∥AB,
∴∠B=∠BEF,(___________________).
∵AB∥CD,EF∥AB
∴EF∥CD,(_______________________________).
∴∠D=________,(_____________________).
∴∠B+∠D=∠BEF+∠FED
即:∠B+∠D=∠BED.

(2)如图2,AB∥CD,请写出∠B+∠BED+∠D=360°的推理过程.
(3)如图3,AB∥CD,请直接写出结果:∠B+∠BEF+∠EFD+∠D=____________.
∴∠B=∠BEF,(___________________).
∵AB∥CD,EF∥AB
∴EF∥CD,(_______________________________).
∴∠D=________,(_____________________).
∴∠B+∠D=∠BEF+∠FED
即:∠B+∠D=∠BED.

(2)如图2,AB∥CD,请写出∠B+∠BED+∠D=360°的推理过程.
(3)如图3,AB∥CD,请直接写出结果:∠B+∠BEF+∠EFD+∠D=____________.