When my mother came back home last night, I was still _________.
已知:如图所示,∠ABC=∠ADC,BF和DE分别平分∠ABC和∠ADC,∠AED=∠EDC.求证:ED∥BF.
证明:∵BF和DE分别平分∠ABC和∠ADC(已知)
∴∠EDC=____ ∠ADC,
∠FBA=____ ∠ABC(角平分线定义).
又∵∠ADC=∠ABC(已知),
∴∠____ =∠FBA(等量代换).
又∵∠AED=∠EDC(已知),
∴∠____=∠____ (等量代换),
∴ED∥BF____.