Alternate Exterior Angles
Nonadjacent exterior angles that lie on opposite sides of the transversal. (3.1)
Alternate exterior angles are a pair of angles that lie on opposite sides of a transversal line and are located outside of the two parallel lines that are being intersected by the transversal. These angles are congruent, meaning that they have equal measures or angles.
In other words, for two parallel lines cut by a transversal, if you draw a pair of lines (one on either side of the transversal and parallel to the others), the angles that are diagonally across from each other and outside of the two parallel lines are alternate exterior angles.
For example, in the figure below, lines l and m are parallel, and t is a transversal. Angle 1 and angle 5 are alternate exterior angles. Similarly, angle 2 and angle 6, and angle 3 and angle 7 are also alternate exterior angles.
It’s important to know that alternate exterior angles can only be found when two lines are parallel. If the lines are not parallel, there will be no alternate exterior angles.
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