
The Corresponding Angles Congruence Postulate states that corresponding angles formed by a transversal are congruent. Corresponding angles are angles that are in the same relative positions in a transversal. In figure 1, the corresponding pairs of angles are angles 1 and 5, 2 and 6, 3 and 7, 4 and 8. Since the Corresponding Angles Congruence Postulate is an axiom, it has no proof, but is taken to be true without proof. 
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