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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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Responses

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

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.

1 answer

The correct response is:

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

This is because when two lines are parallel and crossed by a transversal, the corresponding angles formed are equal in measure.

However, the statement about angles being corresponding could be debated if they aren't specifically positioned in that way. If they are positioned such that they are actually alternate interior angles instead, then:

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

Would also be considered correct in the context of parallel lines and a transversal.

Make sure to clarify how angle 5 is positioned relative to angle 4.