Question 578916: What is the 2 column proof that proves the Parallelogram Consecutive Angles Conjecture to be true?
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! You might want to explain what "Parallelogram Consecutive Angles Conjecture" is, because, even though all of us have experience with geometry, including perhaps projective geometry and non-Euclidean geometry, some of us might not know the exact terminology you use (it may differ from book to book). I'm assuming it states that the consecutive angles of a parallelogram add up to 180 degrees. In that case, it's a theorem, not a conjecture.
The proof relies on the postulate that if two parallel lines are cut by a transversal, then the two (same-side) angles add up to 180 degrees. Use that in your proof. An important skill to have is how to write proofs (not necessarily two-column proofs) -- something you have to learn if you pursue a degree in mathematics, science, philosophy, etc.
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