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Theorems on Angle Pairs

An application of the Supplement Theorem is the Vertical Angles Theorem.

Theorem. Vertical Angles Theorem
Vertical angles are congruent.

Given: Two intersecting lines form ∠1, ∠2, ∠1, and ∠4.
∠1 and ∠2 are vertical angles.
Prove: ∠1≅∠2


Proof