已知:如图:∠A=∠F,∠C=∠D,求证:∠1=∠2,证明:∵∠A=∠F,∴DF∥AC,∴∠D=∠DBA,∵∠D=∠C,∴∠C=∠DBA,∴DB∥CE,∴∠1=∠AMC,∵∠2=∠AMC,∴∠1=∠2.