alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
Alternate exterior angles are a pair of angles that are located outside the two parallel lines and on opposite sides of the transversal. These angles are congruent to each other (have the same measure) if and only if the two lines are parallel.
To find the alternate exterior angles, draw two parallel lines and a transversal. Then, identify the angles that are on the opposite sides of the transversal and are located outside the parallel lines. These angles are alternate exterior angles.
In terms of their properties, alternate exterior angles are equal in measure if and only if the two parallel lines are cut by a transversal. This property can be used to solve various types of problems related to angles and parallel lines. For example, if we know that two angles are alternate exterior angles and one of them has a measure of 60 degrees, we can determine the measure of the other angle by applying the property that alternate exterior angles are congruent. Thus, the other angle would also be 60 degrees.
We can also use the property of alternate exterior angles to prove that two lines are parallel. If we know that the alternate exterior angles are congruent, we can conclude that the lines are parallel. Conversely, if we know that the lines are parallel, we can use alternate exterior angles to prove that they are congruent.
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