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完成下面推理过程,在括号内的横线上填空或填上推理依据.

如图,已知∶ AB// EF,EP⊥EQ,∠EQC+∠APE=90°,求证∶ AB//CD

证明: AB// EF 

∠APE=                  ▲                                    ▲                  

EP⊥EQ 

 ∠PEQ=                  ▲                  (垂直定义)即 ∠QEF+∠PEF = 90°

∠APE+∠QEF=90°

∵·∠EQC+∠APE=90°

∠EQC=                  ▲                  

EF//                  ▲                                    ▲                  

AB// CD(                  ▲                  

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