根据题意结合图形填空:如图,点\(E\)在\(DF\)上,点\(B\)在\(AC\)上,\(∠1=∠2\),\(∠C=∠D.\)试说明:\(AC/\!/DF.\)将过程补充完整.
解:\(∵∠1=∠2(\)已知\()\)
且\(∠1=∠3\) ______
\(∴∠2=∠3(\)等量代换\()\)
\(∴\) ______ \(/\!/\) ______
\(∴∠C=∠ABD\) ______
又\(∵∠C=∠D(\)已知\()\)
\(∴\) ______ \(=\) ______ \((\)等量代换 \()\)
\(∴AC/\!/DF\) ______ .