角CEF+角CBE=90°角CFE=角BFD,角BFD+角FBD=90°;所以,角CFE+角FBD=90°角CBE=角FBD;所以,角CFE=角CEF
∠CBE+∠CEF=∠ABE+∠BFD=90BE平分∠ABC ∴∠CBE=∠ABE∴∠CEF=∠BFD=∠CFE(对顶角相等)∴∠CEF=∠CFE