What Are Congruent Alternate Interior Angles

The lines are parallel if alternate interior alternate exterior or corresponding angles are congruent.

What are congruent alternate interior angles. The interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent. In the case of non parallel lines alternate interior angles don t have any specific properties. When two lines are crossed by another line called the transversal alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

So in the figure below if k l then 2 8 and 3 5. Alternate interior angles lie between the lines cut by the transversal. Sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180.

L a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o. Formally alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Alternate exterior angles are congruent if the lines intercepted by the transversal are parallel.

Corresponding angles lie in the same position at each intersection. Alternate interior angles are two congruent angles from different parallel lines one from l i one from o n. Alternate interior angles theorem.

This is illustrated in the image below. Learn about alternate interior angles. These angles are congruent.

A theorem is a proven statement or an. If two parallel lines are cut by a transversal then the alternate interior angles are equal. Alternate interior angles are congruent.