alternate exterior angles are congruent
When two parallel lines are intersected by a transversal, alternate exterior angles are formed
When two parallel lines are intersected by a transversal, alternate exterior angles are formed. Alternate exterior angles are located on opposite sides of the transversal and outside the two parallel lines.
The key property of alternate exterior angles is that they are congruent, meaning they have equal measures. In other words, if angle A is an alternate exterior angle with angle B, then the measure of angle A is equal to the measure of angle B.
This can be proven based on the properties of parallel lines. When two lines are parallel, the alternate interior angles formed by a transversal are congruent. Therefore, by using the Alternate Interior Angle Theorem, we can conclude that the alternate exterior angles are also congruent.
Knowing that the alternate exterior angles are congruent can be very useful when working with parallel lines and transversals. It allows us to determine missing angle measures and solve problems involving the relationships between angles formed by parallel lines and a transversal.
More Answers:
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Understanding Corresponding Angles | Exploring Congruency of Angles formed by Parallel Lines and a Transversal