When parallel lines are cut by a transversal, several angle relationships can be established. One of the most important relationships is known as the corresponding angles relationship. According to this relationship, when a transversal intersects two parallel lines, the corresponding angles formed on the same side of the transversal are congruent.
In the given scenario, angles 1 and 5 are corresponding angles, as they are both formed on the same side of the transversal and are located at the same position with respect to the parallel lines. Therefore, the relationship between angle 5 and angle 1 is that they are congruent (i.e., they have the same measure).
Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?
1 answer