Alternate Exterior Angles
alternate sides of the transversal; outside of parallel lines
Alternate exterior angles are pairs of angles that are located outside of two parallel lines and on opposite sides of the transversal line that intersects those two parallel lines. These angles have equal measurements (they are congruent) and are located in different positions that are not adjacent to one another.
To better understand alternate exterior angles, imagine two parallel lines that are cut by a transversal. When you draw a diagonal line through that intersecting point, two pairs of alternate exterior angles are created. They are located on opposite sides of the transversal and outside of the two parallel lines.
Alternate exterior angles serve as significant properties since they form a linear pair with corresponding alternate interior angles, and the sum of the measures of linear pairs is always equal to 180 degrees. This means that alternate exterior angles have a measure equal to the sum of the two remote interior angles that are on the same side of the transversal.
In mathematical expressions, alternate exterior angles are represented as follows:
∠1 and ∠3 are alternate exterior angles, and ∠2 and ∠4 are alternate exterior angles, and they are congruent.
In conclusion, alternate exterior angles are angles that are located outside of two parallel lines and on opposite sides of the transversal line that intersects those two parallel lines. They are congruent angles, and their measures are equal to the sum of the two remote interior angles that are on the same side of the transversal.
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