Question

In: Advanced Math

The Alternate Interior Theorem states that if two lines cut by a transversal line have a...

The Alternate Interior Theorem states that if two lines cut by a transversal line have a pair of congruent alternate interior angles, then they must be parallel. Prove this theorem in Neutral Geometry (first 4 axioms) in two ways

1) using the exterior angle theorem

2) then without.

Hint: use proof by contradiction for both solutions.

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