Alternate exterior angles are pairs of non-adjacent angles on the outer side of each of two parallel lines but on opposite sides of the transversal. They are formed when two lines are cut by a transversal and lie outside the two lines and on the opposite side of the transversal. The alternate exterior angles theorem states that if a transversal cuts two parallel lines, the pairs of exterior angles formed are congruent.
The term alternate exterior angles is often used when two lines are cut by a third line, a transversal. These angles are created when three lines intersect, and a line that crosses two or more other lines is called a transversal. Alternate exterior angles refer to those that are outside the parallel lines, such as the two angles 1 and 2 below being equal to 115∘ 115 ∘.
Alternate exterior angles are a pair of angles lying on the opposite sides of a transversal and on the outer sides of two intersecting lines. The theorem and proof of the alternate exterior angles theorem provide a comprehensive understanding of these angles and their formation.
In summary, alternate exterior angles are pairs of non-adjacent angles on the outer side of two parallel lines but on opposite sides of the transversal. They are formed when a transversal cuts two parallel lines and forms congruent pairs of exterior angles.
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