Question

An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

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?

alternate interior angles

vertical angles

alternate exterior angles

corresponding angles

Answer 1

The relationship that can be established between angle 5 and angle 1 is alternate exterior angles.

Alternate exterior angles are formed when a transversal intersects two parallel lines and are located on opposite sides of the transversal and outside the two parallel lines. In this case, angle 5 and angle 1 are alternate exterior angles because they are located on opposite sides of the transversal (the inclined transversal passing through upper M) and outside the two parallel lines (upper M and upper N).