Parallel Lines Non-Parallel Lines:
Not having parallel lines and splitting them with a transversal would throw off your data. You'd think that something would be true when it's not. You would be able to use the Theorems with regular parallel lines but when they aren't parallel you don't know what formulas to use, if any! Using parallel lines just simplify all your work. While Non-Parallel line make them more difficult than it should be.
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