If angle 4 is A deg and lines M and N are parallel, give a reason why angle 5 is also 42"

Question

If angle 4 is A deg and lines M and N are parallel, give a reason why angle 5 is also 42"

(1 point)

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.

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

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

Answer 1

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

Answer 2

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

Answer 3

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