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The term alternate exterior angles is often used when two lines are cut by a third line, a transversal .
In the figure above, line is a transversal cutting lines and , and there are two pairs of alternate exterior angles:
and
and
The Alternate Exterior Angles Theorem states that if and are parallel , then the pairs of alternate exterior angles are congruent . That is,
and .
The converse of this theorem is also true.