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- If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.
- If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary
- when a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel