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 3 and angle 6?

(1 point)
Responses

alternate exterior angles
alternate exterior angles

vertical angles
vertical angles

corresponding angles
corresponding angles

alternate interior angles
alternate interior angles
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Answer 1

To determine the relationship between angle 3 and angle 6, we first need to analyze the positions of the angles formed around the intersections of the transversal with the parallel lines M and N.

• Angle 3 is located on upper M, and it is in the lower right position when moving clockwise.
• Angle 6 is located on upper N, and it is in the lower right position as well.

Since both angles are on opposite sides of the transversal but above the two lines (with one being on line M and the other on line N), they are positioned such that they do not share a common vertex and are not adjacent to each other.

Angles that are on opposite sides of the transversal and outside the parallel lines are classified as alternate exterior angles.

Therefore, the relationship between angle 3 and angle 6 is:

alternate exterior angles.