# In Fig., find the

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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