Alternate Exterior Angles
Alternate exterior angles are a set of angles that are formed when a pair of parallel lines is intersected by a transversal
Alternate exterior angles are a set of angles that are formed when a pair of parallel lines is intersected by a transversal. This transversal is a line that cuts across the two parallel lines at a different angle. When this happens, there are several pairs of angles that are formed, and alternate exterior angles are one of those pairs.
To identify alternate exterior angles, you want to focus on the angles that are on the outside of the parallel lines and are on opposite sides of the transversal. These angles are called alternate exterior angles because they lie on the exterior, or outside, of the parallel lines and are alternate, or on opposite sides, of the transversal.
For example, consider two parallel lines labeled as line a and line b, and a transversal cutting through them labeled as line t. If angle 1 and angle 4 are on the outside of the lines and on opposite sides of the transversal, then they are alternate exterior angles. Similarly, if angle 2 and angle 3 are on the outside of the lines and on opposite sides of the transversal, then they are also alternate exterior angles.
One important property of alternate exterior angles is that they are congruent, meaning they have the same measure. This relationship holds true for any pair of alternate exterior angles formed when parallel lines are intersected by a transversal.
Knowing the properties and characteristics of alternate exterior angles can be helpful in solving various geometry problems, such as proving angles are congruent or finding missing angle measures in geometric figures.
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