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Converse Consecutive Interior Angles Theorem

Rule

Converse Consecutive Interior Angles Theorem

If a pair of consecutive interior angles formed by a transversal are supplementary angles, the lines crossed are parallel lines.

For example, in the figure above the lines because and is a pair of consecutive interior angles with an angle sum of which makes them supplementary angles. The theorem is named the Converse Consecutive Interior Angles Theorem because the same thing holds true but in opposite order.