The term alternate exterior angles is often used when two lines are cut by a third line, a transversal.

In the figure above, line t is a transversal cutting lines k and l, and there are two pairs of alternate exterior angles:
1 and
7
4 and
6
The Alternate Exterior Angles Theorem states that if k and l are parallel, then the pairs of alternate exterior angles are congruent. That is,
1
7
and
4
6.
The converse of this theorem is also true.