0. If two parallel lines are intersected by a transversal, then prove that the bisectors of any
two alternate interior angles are parallel.
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Answer: We know that if one of the angles is the right angle in the parallelogram then it is also a rectangle. ... Thus, if two parallel lines are intersected by a transversal, then bisectors of the interior angles form a rectangle. Note: The sum of interior angles on the same side of the transversal is equal to 180∘ .
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