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Maths Exercices
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