题目内容


已知:如图,∠BAP+∠APD =,∠1 =∠2.求证:∠E =∠F

 

                                                                       

                                                                    


.证明:∵ ∠BAP+∠APD = 180°,

ABCD.

∴ ∠BAP =∠APC.

又∵ ∠1 =∠2,

∴ ∠BAP−∠1 =∠APC−∠2,

即∠EAP =∠APF.

AEFP.

∴ ∠E =∠F.


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