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name anjeli j. date 9/16 unit 1 section 10 assignment - geometry 17 explain how you can use the relationship of consecutive interior angles to prove that two lines are parallel.
Consecutive interior angles are supplementary (add up to 180 degrees) when two lines are cut by a transversal and the lines are parallel. So, if we can show that the consecutive interior angles formed by two lines and a transversal are supplementary, we can conclude that the two lines are parallel.
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If consecutive interior angles formed by two lines and a transversal are supplementary, the two lines are parallel.