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.
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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.
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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.
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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.
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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.