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Question

Angles and Parallel Lines Quick Check
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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

vertical angles
vertical angles

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles
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Answer 1

To determine the relationship between angle 5 and angle 1 in the context of parallel lines cut by a transversal, let's analyze the locations of these angles based on the description provided:

1. Angles 1 and 5 are located at the intersections formed by the transversal and the two parallel lines (M and N).
2. Angle 1 is in the upper left quadrant around line M.
3. Angle 5 is in the upper left quadrant around line N, which is directly below angle 1, indicative of the transversal crossing both lines.

Given that:

• Angle 1 is located above line M and to the left of the transversal.
• Angle 5 is located below line N and also to the left of the transversal.

Since angle 1 and angle 5 occupy the same position relative to their respective lines and transversal, they are known as corresponding angles.

Thus, the correct response regarding the relationship between angle 5 and angle 1 is:

corresponding angles