When this happens there are 2 pairs of alternate interior angles that are formed.

Alternate interior angles theorem triangles.
Alternate interior angles theorem.
The alternate angles theorem states that if two parallel lines are cut by a transversal then each pair of alternate interior angles are equal.
A proof of the common geometric theorem showing that when lines are parallel alternate interior angles are congruent.
Alternate interior angles theorem.
Alternate interior angle theorem the alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent.
In the applet below a transversal intersects 2 parallel lines.
So in the figure below if k l then 2 8 and 3 5.
The alternate interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent.
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