Angles and Parallel Lines Quick Check

Question

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Question
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.
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 interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

vertical angles

Answer 1

vertical angles

Answer 2

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

vertical angles
vertical angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

alternate interior angles
alternate interior angles
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Answer 3

1. Corresponding angles
2. Vertical angles
3. Alternate exterior angles
4.Angle 4 and 5 are alternate interior angles, so their measures must be the same
5. Angle 3 is 63 because angle 1 and angle 3 are vertical angles