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 Tansversal of parallel lines If two lines are cut by a transversal, the corresponding angles are congruent. Note that single or double arrowheads on the lines identify them as being parallel. That means that in the preceding figure, is congruent to , is congruent to , is congruent to , and is congruent to . It will be useful to know: If parallel lines are cut by a transversal, their alternate interior angles are congruent. If parallel lines are cut by a transversal, their alternate exterior angles are congruent. If parallel lines are cut by a transversal, their consecutive interior angles are supplementary. If parallel lines are cut by a transversal, their consecutive exterior angles are supplementary. Suppose . Find . is a corresponding angle to so they are congruent. Therefore Suppose . Find . Angles 3 and 6 are alternate interior angles, so they are congruent. Therefore Suppose . Find . Angles 7 and 1 are consecutive exterior angles, and therefore, they are supplementary. Therefore