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
alternate exterior angles
alternate exterior angles
vertical angles
vertical angles
alternate interior angles
alternate interior angles
corresponding angles
corresponding angles
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1 answer
The correct relationship between angle 5 and angle 1 is that they are alternate exterior angles.
When two parallel lines (M and N) are cut by a transversal (the inclined line), the angles that lie outside the parallel lines and are on opposite sides of the transversal are considered alternate exterior angles. In this case, angle 1 is located outside line M, and angle 5 is located outside line N, making them alternate exterior angles.
