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.If angle 4 is 42°and lines M and N are parallel, give a reason why angle 5 is also 42°.(1 point)Responses Angle 4 and angle 5 are alternate interior angles, so their measures must be the same. Angle 4 and angle 5 are alternate interior angles, so their measures must be the same. Angle 4 and angle 5 are corresponding angles, so their measures are congruent. Angle 4 and angle 5 are corresponding angles, so their measures are congruent. Angle 4 and angle 5 are vertical angles, so their measures are congruent. Angle 4 and angle 5 are vertical angles, so their measures are congruent. Angle 4 and angle 5 are interior angles, so their measures must be the same. Angle 4 and angle 5 are interior angles, so their measures must be the same.

Answer 1

The correct reason why angle 5 is also 42° is:

Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

In this case, since lines M and N are parallel and a transversal is intersecting them, the angle pairs formed are corresponding angles, which are equal in measure.