Alternate interior
angles that are on opposite sides of the transversal and in between the parallel lines
Alternate interior angles are a pair of angles formed when a transversal intersects two parallel lines. The angles are located on opposite sides of the transversal and on opposite sides of the parallel lines. These angles are equal in measure.
To illustrate this, consider two parallel lines that are intersected by a third line (transversal). Let us name the lines A and B, where A and B are parallel. The transversal is named C. When C intersects A at point D and B at point E, we have alternate interior angles. The two angles are located between lines A and C or lines B and C, and they are equal.
In other words, if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent. This theorem is very useful in finding unknown angles in a figure with parallel lines and a transversal.
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