∵△ABC是等边△∴∠B=∠C在△ABD和△AEC中∠B=∠C AD=EC AB=AC∴△ABD≌△AEC∴∠CAE=∠ABD又∠BFH=∠ABD+∠BAE（外角等于两不相邻内角和）即∠BFH=∠CAE+∠BAE=60°在△BHF中BH⊥AE即△BHF为RT△ ∠BFH=60°∴∠FB...