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Parallel and Perpendicular Lines
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Parallel Lines and Transversals

The relationships between angle pairs formed by parallel lines cut by a transversal are stated in the following postulate and theorems.

Postulate. Corresponding Angles Postulate (CAP)
If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Refer to the given figure. If mn, then 15, 26, 37, and 48.