填写推理理由 (1)已知:如图,D、F、E分别是BC、AC、AB上的点,DF∥AB,DE∥AC,试说明∠EDF=∠A. 解:∵DF∥AB( _________ )∴∠A+∠AFD=180°(_________)∵DE∥AC(_________)∴∠AFD+∠EDF=180°(_________)∴∠A=∠EDF(_________)(2)如图,AB∥CD,∠1=∠2,∠3=∠4,试说明AD∥BE.解:∵AB∥CD(已知)∴∠4=∠_________(_________)∵∠3=∠4(已知)∴∠3=∠_________(_________)∵∠1=∠2(已知)∴∠1+∠CAF=∠2+∠CAF(_________)即∠_________=∠_________∴∠3=∠_________(_________)∴AD∥BE(_________)