∵BE⊥AC
AD⊥BC
∴∠BDH=∠BDA=∠BEA=∠AEH=90°
∵∠BHD=∠AHE
∴∠CAD=∠EAH=90°-∠AHE
∠DBH=90°-∠BED
∴∠CAD=∠DBH
∵∠ADC=∠BDH=90°
BE=AC
∴△ACD≌△BDH(AAS)
∴AD=BD
∵∠BDA=90°
∴△ADB是等腰直角三角形
∴∠ABC=∠ABD=45°
∵BE⊥AC
AD⊥BC
∴∠BDH=∠BDA=∠BEA=∠AEH=90°
∵∠BHD=∠AHE
∴∠CAD=∠EAH=90°-∠AHE
∠DBH=90°-∠BED
∴∠CAD=∠DBH
∵∠ADC=∠BDH=90°
BE=AC
∴△ACD≌△BDH(AAS)
∴AD=BD
∵∠BDA=90°
∴△ADB是等腰直角三角形
∴∠ABC=∠ABD=45°