Using Properties of Parallel Lines

When drawing a line through a point parallel to a given line, we choose a point $Q$ on line $f$ and draw a line from $f$ to $X$ using a straightedge.

Next, we draw two arcs. The first arc ($1.$) we draw crosses $\overleftrightarrow{QX}$ and the line $f.$ The second arc ($2.$) we draw with center $X$ 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 $X$ and $D.$ This line is parallel to $f.$