Alternate exterior
angles that are on opposite sides of the transversal and outside of the parallel lines
Alternate exterior angles are formed when a transversal intersects two parallel lines. They are angles that are outside the two parallel lines and on opposite sides of the transversal. These angles have the same degree measurement, meaning they are congruent.
For example, if line A and line B are parallel, then a transversal line C intersecting them forms alternate exterior angles. If angle 1 is an alternate exterior angle opposite to angle 2, then angle 1 and angle 2 will be congruent.
Alternate exterior angles are important in geometry because they can be used to determine whether two lines are parallel. If the alternate exterior angles appear to be equal or congruent, it proves that the lines are parallel to each other. Therefore, they are useful in many shapes and constructions where parallel lines are involved.
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