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When drawing a line through a point parallel to given line, we choose a point $Q$ on line $L$ and draw a line from $Q$ to $T$ using a straightedge.
Next, we draw two arcs. The first arc ($1.$) we draw crosses $\overleftrightarrow{QT}$ and the line $L.$ The second arc ($2.$) we draw with center $T$ and using the same compass setting.
Next, we use the compass to measure the arc ($1.$) between $A$ and $B.$ Keeping that compass setting, we measure the same arc ($2.$) from $C$ to point $D$ which has been labeled below.
Finally, we draw a line through $T$ and $D.$ This line is parallel to $L.$