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.

Question

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 interior angles
alternate interior angles

alternate exterior angles
alternate exterior angles

corresponding angles
corresponding angles

vertical angles

Answer 1

To determine the relationship between angle 5 and angle 1, we need to analyze their positions based on the description provided.

• Angle 1 is located in the upper left quadrant around the intersection of line M.
• Angle 5 is located in the upper left quadrant around the intersection of line N.

Since both lines M and N are parallel and the transversal cuts through both, angle 1 and angle 5 occupy corresponding positions relative to the transversal. Therefore, we can establish that angle 5 and angle 1 are corresponding angles.

Thus, the correct response is:

corresponding angles