∵△ABC为等边三角形，∴AB=AC，∠BAE=∠ACD=60°.∵AE=CD.∴△ABE≌△CAD.∵△ABE≌△CAD，∴∠CAD=∠ABE，∠AEB=∠CDA.∴∠CAD+∠AEB=∠CAD+∠ADC=180°-60°=120°.（外角）∴∠BFD=60°.
