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If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42° .

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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 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 vertical angles, so their measures are congruent.

Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

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

The reason why angle 5 is also 42° is because angle 4 and angle 5 are alternate interior angles. When two parallel lines are intersected by a transversal, alternate interior angles are formed on opposite sides of the transversal and between the two parallel lines. Alternate interior angles are congruent, meaning they have the same measure. Therefore, since angle 4 is 42°, angle 5 must also be 42°.