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 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.

Answer 1

The correct response is:

**Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.**

This is because when a transversal intersects two parallel lines, the alternate interior angles formed are equal.