Question

Use the figure to answer the 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 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 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 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 co

Answer 1

Given that lines M and N are parallel, the correct reason why angle 5 is also 42° is that "Angle 4 and angle 5 are corresponding angles, so their measures are congruent."

Corresponding angles formed by a transversal cutting through parallel lines are equal in measure. Since angle 4 is 42°, angle 5 must also be 42°.