题目内容

如图,∠5=∠CDA =∠ABC,∠1=∠4,∠2=∠3,∠BAD+∠CDA=180°,填空:

∵∠5=∠CDA(已知)

      //       (                       )                             

∵∠5=∠ABC(已知)

      //       (                       )                               

∵∠2=∠3(已知)

      //       (                        )                               

∵∠BAD+∠CDA=180°(已知)

      //       (                           )  

∵∠5=∠CDA(已知),又∵∠5与∠BCD互补(                            )

CDA           互补(邻补角定义)

∴∠BCD=∠6(                        )

       //        (                              )

 


如图,∠5=∠CDA =∠ABC,∠1=∠4,∠2=∠3,∠BAD+∠CDA=180°,填空:

∵∠5=∠CDA(已知)

AD     //   BE    (  内错角相等,两直线平行                     )                             

∵∠5=∠ABC(已知)

     AB //DC       (  同位角相等,两直线平行                     )                              

∵∠2=∠3(已知)

   AB   //     CD  (  内错角相等,两直线平行                        )                               

∵∠BAD+∠CDA=180°(已知)

    AB  //    CD   (同旁内角互补,两直线平行                            )  

∵∠5=∠CDA(已知),

又∵∠5与∠BCD互补(  邻补角定义                          )

CDA    6       互补(邻补角定义)

∴∠BCD=∠6( 同角的补角相等                       )

    AD   //   BE     (                              )

 


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