Question

如图，△ABC中，BE⊥AC，CF⊥AB，HD平分∠BHC，若∠BCF=35°，∠A=80°,

则∠CDH= __________.

Answer

95°

【解析】解：∵CF⊥AB，∠A=80°，∴∠ACF=90°－80°=10°．∵BE⊥AC，∴∠BHC=90°+10°=100°．∵HD平分∠BHC，∴∠DHC=100°÷2=50°，∴∠CDH=180°－∠DHC－∠BCF=180°－50°－35°=95°．故答案为：95°．