如图,BA⊥FC于A点,过A点作DE∥BC,若∠EAF=125°,则∠B= .

如图,BA⊥FC于A点,过A点作DE∥BC,若∠EAF=125°,则∠B=  

答案

 35° 

【考点】平行线的性质.

【分析】先根据补角的定义求出∠CAE的度数,再由平行线的性质求出∠C的度数,再由直角三角形的性质即可得出结论.

【解答】解:∵∠EAF=125°,

∴∠CAE=180°﹣125°=55°.

∵DE∥BC,

∴∠C=∠CAE=55°.

∵BA⊥FC,

∴∠BAC=90°,

∴∠B=90°﹣∠C=90°﹣55°=35°.

故答案为:35°.

【点评】本题考查的是平行线的性质,用到的知识点为:两直线平行,内错角相等.

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