if a transversal intersect two parallel lines then each part of cointerior angles are sublimentary
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first of all we know that If a transversal line intersects two parallel lines, then each pair of co- interior angles also known as interior angles on the same side of the transversal will be supplementary. ... angle 8+ angle 1=180 degree.
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Conversely, if a transversal intersects two lines such that a pair of co-interior angles are supplementary, then the two lines are parallel.
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