Question

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 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. 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 alternate interior angles, so their measures must be the same.

Answer 1

To determine why angle 5 is also 42° given that angle 4 is 42° and lines M and N are parallel, the appropriate response is: **Angle 4 and angle 5 are corresponding angles, so their measures are congruent.**

Corresponding angles are equal when two parallel lines are crossed by a transversal, making this the correct reasoning for angle 5 being equal to angle 4.