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In the given figure, and are intersecting at and . Show that

Answer

From the figure, 
and
Line and intersect
[Vertically opposite angles]
In and ,
[SAS Congruence Rule]
[by CPCT]
But and form a pair of alternate angles. 
If a transversal intersects two lines such that pair of alternate interior angles is equal, then lines are parallel. 

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toppr

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