Q. 54.3( 42 Votes )

In Fig., find the

Answer :

From the figure:


x + 50o = 180o(Linear pair)


x = 180o - 50o


x = 130o


y = 130o(Vertically opposite angles)


Now,


x = y = 130o(Alternate interior angles)


Hence,


The theorem says that when the lines are parallel, the alternate interior angles are equal. And thus, the lines must be parallel.


AB || CD


Hence, Proved.


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