# Answer to Question #22288 in Geometry for mackenzie

Question #22288

If two angles are consecutive interior angles formed when a transversal cuts two parallel lines, then they are supplementary. You know that are consecutive interior angles. Using the Law of Detachment, which conclusion could you make?

Expert's answer

A)<A and <B are consecutive interiorangles

B)<A and <B are supplementary

Conclusion - Lines are parallel

A)<A and <B are consecutive interior angles

B)<A and <B are not supplementary

Conclusion - Lines are not parallel

B)<A and <B are supplementary

Conclusion - Lines are parallel

A)<A and <B are consecutive interior angles

B)<A and <B are not supplementary

Conclusion - Lines are not parallel

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