∵∠ADF=75°
DF⊥AE
∴∠DAF=90°-75°=15°
∵AD平分∠BAC,AE平分∠DAC
∴∠FAB=∠DAF=15°
∠CAD=∠FAB+∠DAF=30°
又∵∠B=90°
∴∠C=90°-∠CAD-∠FAB-∠DAF=30°
∴∠ADE=∠C+∠CAD=30°+30°=60°
∴∠FDE=75°-60°=15°
∵∠ADF=75°
DF⊥AE
∴∠DAF=90°-75°=15°
∵AD平分∠BAC,AE平分∠DAC
∴∠FAB=∠DAF=15°
∠CAD=∠FAB+∠DAF=30°
又∵∠B=90°
∴∠C=90°-∠CAD-∠FAB-∠DAF=30°
∴∠ADE=∠C+∠CAD=30°+30°=60°
∴∠FDE=75°-60°=15°