Alternate exterior angles are pairs of non-adjacent angles formed when a transversal intersects two parallel or non-parallel lines. They lie on the outer side of two parallel lines but on opposite sides of the transversal. The alternate exterior angles theorem is used to prove that two lines are parallel to each other, and if not parallel, they are not congruent and do not have any relationship.
To identify alternate exterior angles, one must first identify the transversal line, which crosses through two other lines, usually parallel lines. Once the transversal is cut, the video shows how to identify these angles and their properties.
The alternate exterior angles theorem states that when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent. If two lines are parallel, then the pair alternate exterior angles formed are congruent. Alternate exterior angles pairs are formed when two parallel lines are cut by a transversal, and they are found on the outer side of each of those two lines but on opposite sides of the transversal.
For example, ∠1, ∠2, ∠3, and ∠4 are examples of alternate exterior angles. These angles are formed when a transversal intersects two parallel lines at distinct points, and they are found on the outer side of two parallel lines but on opposite sides of the transversal.
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