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.

1 answer

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

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

This is because when two parallel lines are cut by a transversal, corresponding angles are equal.