Use the figure to answer the question.

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 interior angles
alternate interior angles

corresponding angles
corresponding angles

vertical angles
vertical angles

alternate exterior angles
alternate exterior angles
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Answer 1

To determine the relationship between angle 5 and angle 1 when an inclined transversal intersects two vertical parallel lines M and N, we can analyze their positions.

• Angle 1 is located at the top left section around the intersection of line M.
• Angle 5 is located at the top left section around the intersection of line N.

Given the configuration, angles 1 and 5 are on the same side of the transversal and within different parallel lines. Therefore, they occupy the same relative position with respect to their respective intersections.

The correct relationship between angles 5 and 1 is that they are corresponding angles.

So, the answer is:

corresponding angles.