SOLUTION: How to you prove that if a transverse intersects two parallel lines, then the alternate angles are congruent?

Question 417789: How to you prove that if a transverse intersects two parallel lines, then the alternate angles are congruent?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
http://www.themathpage.com/abooki/propi-29-30.htm
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Euclid uses an indirect proof for this Theorem.
The proof of the Theorem is based on the assumption
that parallel lines never neet.
Non-Euclidean geometry does not accept this assumption.
Non-Euclidean applies to lines on the earth.
Euclidean applies to lines on a plane.
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See the following site:
http://www.themathpage.com/abooki/propi-29-30.htm
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Cheers,
Stan H.
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