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Geometry challenge: Determine the relationship between angles formed by intersecting lines and prove that vertical angles are congruent.

Diagram showing two intersecting lines forming angles labeled 1, 2, 3, and 4, with a question about the relationship between the angles and a proof involving supplementary angles.

Diagram showing two intersecting lines forming angles labeled 1, 2, 3, and 4, with a question about the relationship between the angles and a proof involving supplementary angles.

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