Question

Use the figure to answer the 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?(1 point)
Responses

alternate exterior angles
alternate exterior angles

vertical angles
vertical angles

corresponding angles
corresponding angles

alternate interior angles

1 answer

To determine the relationship between angle 5 and angle 1, let's analyze their positions in relation to the two parallel lines M and N and the transversal.

  • Angle 1 is located at the intersection of line M and the transversal above it.
  • Angle 5 is located at the intersection of line N and the same transversal, below line N.

Since angles 1 and 5 are on opposite sides of the transversal and outside the two parallel lines, they are classified as alternate exterior angles. This means the correct response is:

alternate exterior angles