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.

Question

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

corresponding angles
corresponding angles

alternate interior angles
alternate interior angles

vertical angles
vertical angles

alternate exterior angles

Answer 1

When a transversal intersects two parallel lines, several pairs of angles are formed. In this case, angle 5 at line N and angle 1 at line M are positioned such that they are on the same side of the transversal and in corresponding positions relative to the two parallel lines.

Therefore, the relationship between angle 5 and angle 1 is that they are corresponding angles.

So, the correct response is:

corresponding angles