解:因?yàn)?$BE\perp AC,$?
所以?$∠BEC = 90°,$?
又因?yàn)?$DF// BE,$?
所以?$∠DFC=∠BEC = 90°。$?
因?yàn)?$∠ABC = 36°,$??$∠C = 64°,$?
所以?$∠BAC=180°-∠ABC - ∠C$?
?$=180°-36°-64°=80°。$?
?$ $?因?yàn)?$AD$?平分?$∠BAC,$?
所以?$∠DAC=\frac {1}{2}∠BAC=\frac {1}{2}×80°=40°。$?
?$ $?在?$\triangle DFC$?中,
?$∠FDC=180°-∠DFC-∠C$?
?$=180°-90°-64°=26°。$?
?$ $?在?$\triangle AHE$?中,
?$∠AHE=180°-(∠DAC+∠BEA)$?
?$=180°-(40°+90°) = 50°,$?
所以?$∠AHB=180°-∠AHE=130°。$?