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The figure below shows a transversal t which intersects the parallel lines PQ and RS. Write a paragraph to prove that the measure of angle 3 is equal to the measure of angle 5.
https://lss.brainhoney.com/Resource/23914109,0/Assets/58541_51dc3edf/image0024e7349ab.jpg
Since line PQ is given to be parallel to line RS and since 3 and 5 are alternate interior angles, we know tha angle 3 is congruent to angle 5 because if parallel lines are cut by a transversal, then the alternate interior angles are congruent.
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