Question: What can be concluded if two lines are cut by a transversal and the alternate exterior angles are equal?

Options:

1. The lines are parallel.
2. The lines are perpendicular.
3. The lines intersect.
4. No conclusion can be made.

Correct Answer: The lines are parallel.

Solution:

If the alternate exterior angles are equal, by the Alternate Exterior Angles Theorem, the lines are parallel.