Concept

Corresponding Angles

When a pair of lines is cut by a transversal, eight different angles are created, four around each point of intersection. Corresponding angles are the angles that lie in the same position around different intersection points. For example, in the figure below, ∠1\angle 1 and ∠5\angle 5 are corresponding angles because they both lie in the upper right hand corner.

Additionally, the following angles pairs are corresponding angles. ∠2 and ∠6,∠3 and ∠7, and ∠4 and ∠8 \angle 2 \text{ and } \angle 6, \quad \angle 3 \text{ and } \angle 7, \quad \text{ and } \quad \angle 4 \text{ and } \angle 8

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