How Are The Alternate Interior Angles Theorem And The Alternate Exterior Angles Theorem Different. At each intersection the corresponding angles lie at the same place. Therefore x 20.
Because these lines are parallel the theorem tells us that the alternate interior angles are congruent. So in the figure below if k l then. M and n are non-intersecting.
When a transversal crosses two other lines it creates an exterior and interior for the parallel lines.
Therefore x 20. Alternate Interior Angles Theorem Proof. By the alternate interior angles theorem x and 20 are the alternate interior angles. The alternate interior angles theorem states that the alternate interior angles are congruent when the transversal intersects two parallel lines.