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.

What is the relationship between angle 6 and angle 7?(1 point)
Responses

corresponding angles
corresponding angles

alternate interior angles
alternate interior angles

vertical angles
vertical angles

alternate exterior angles
alternate exterior angles
Skip to navigation

page 11 of 11

Answer 1

To analyze the relationship between angle 6 and angle 7 based on their positions relative to the transversal and the parallel lines M and N, we can use the definitions of the different angle relationships.

1. Corresponding Angles: These are angles that occupy the same relative position at each intersection. Angle 6 and angle 7 are not in corresponding positions since they are on different parallel lines.

2. Alternate Interior Angles: These angles lie between the two parallel lines and on opposite sides of the transversal. Angle 6 is on one side of the transversal and angle 7 is on the opposite side of the transversal but between the two parallels. Thus, they form an alternate interior angles relationship.

3. Vertical Angles: These angles are opposite each other when two lines cross. Angles 6 and 7 are not vertical angles since they do not occupy that position.

4. Alternate Exterior Angles: These angles lie outside the two parallel lines and on opposite sides of the transversal. Angle 6 is inside the parallel lines while angle 7 is also inside, hence they are not alternate exterior angles.

Based on these definitions, the relationship between angle 6 and angle 7 is best described as:

alternate interior angles.