(1)∵∠ACF=120,CE是角的平分线∴∠ACE=60,∠BAC=60∴∠ACE=∠BAC=60∴AB∥CE(内错角相等两直线平行)(2)∵∠ABC+∠BAD=∠ADF=∠ADE+∠EDC又∵∠ABC=∠ADE=60 ∴60+∠BAD=60+∠EDC ∴∠BAD=∠EDC