1965 AHSME Problem 4

Line \ell_2 intersects line \ell_1 and line \ell_3 is parallel to \ell_1. The three lines are distinct and lie in a plane. The number of points equidistant from all three lines is:

\textbf{(A)}\ 0 \qquad \textbf{(B) }\ 1 \qquad \textbf{(C) }\ 2 \qquad \textbf{(D) }\ 4 \qquad \textbf{(E) }\ 8

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.