5. If a transversal intersects two lines such that the bisectors of a pair of alternate
interior angles are parallel, then prove that the two lines are parallel.
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If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. The transversal AD intersects the two lines PQ and RS at points B and C respectively. BE is the bisector of ∠ABQ and CF is the bisector of ∠BCS.
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