Question

in the figure below, parallel lines a and b are intersected by a transversal, t. eight angles are formed and are labeled 1 - 8 as shown. use the drop - down arrows to choose the true statement from the first drop - down menu and the reason it is true from the second drop - down menu. angle 1 and angle 8 are congruent because of the (select)

Explanation:

Step1: Identify angle - pair relationship

Angle 1 and angle 8 are alternate exterior angles. Alternate exterior angles are formed when a transversal intersects two parallel lines. They are on the outer - most side of the two parallel lines and on the opposite sides of the transversal.

Step2: Recall relevant theorem

The alternate exterior angles theorem states that when two parallel lines are cut by a transversal, the alternate exterior angles are congruent.

Answer:

Angle 1 and angle 8 are congruent because of the alternate exterior angles theorem.