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 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 interior angles, so their measures must be the same.

1 answer

The correct response is: Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

When two lines are parallel, corresponding angles (the angles that occupy the same relative position at each intersection where a straight line crosses the two lines) are congruent. Since angle 4 is 42°, angle 5 must also be 42°.