How Are The Alternate Interior Angles Theorem And The Alternate Exterior Angles Theorem Alike. The Alternate Exterior Angles Theorem states that when two parallel lines are cut by a transversal the resulting alternate exterior angles are congruent. The Alternate Interior Angles Theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent.
We shall show that ACD A. Alternate exterior angles are equal to one another. Interior angles are created in the space inside the parallel lines.
Alternate Interior Angles Theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent.
When a transversal crosses two other lines it creates an exterior and interior for the parallel lines. The two angles of the triangle not adjacent to this exterior angle are called the remote interior angles. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal. In a like manner you can show that ACD B.