题目内容


已知:如图,∠BAP+∠APD =,∠1 =∠2.求证:∠E =∠F

 

                                                                       

                                                                    


证明:∵ ∠BAP+∠APD = 180°,∴ AB∥CD.∴ ∠BAP =∠APC.

  又∵ ∠1 =∠2,∴ ∠BAP−∠1 =∠APC−∠2.

  即∠EAP =∠APF.∴ AE∥FP.∴ ∠E =∠F.


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