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 corresponding 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 vertical angles, so their measures are congruent.

Answer 1

If lines M and N are parallel, then 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 corresponding angles are equal when a transversal intersects two parallel lines.