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

alternate exterior angles
alternate exterior angles

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

vertical angles

1 answer

To determine the relationship between angle 6 and angle 7, we need to analyze their positions in relation to the two vertical parallel lines (M and N) and the transversal.

  1. Angle 6 is located at the upper right of the intersection point of line N.
  2. Angle 7 is located at the lower right of the intersection point of line N.

Since angles 6 and 7 are on the same side of the transversal and between the two parallel lines, they are classified as interior angles.

Furthermore, angles 6 and 7 do not share a common vertex, nor are they opposite each other, and they are not in corresponding positions.

Therefore, the relationship between angle 6 and angle 7 is that they are alternate interior angles.

So, the correct response is: alternate interior angles.