∵DE⊥BC,DF⊥AB,∴∠EDC=∠EDB=∠DFB=90°,又∵∠B=∠C,∴∠FDB=∠DEC,∵∠AED=160°,∴∠FDB=∠DEC=20°,∴∠EDF=90°-∠FDB=70°.故选C.