Q. 14.4( 352 Votes )

In Fig. 6.28, fin

Answer :

From the figure:

x + 50o = 180o (Linear pair)

x = 180- 50o

x = 130o

And,


y = 130o (Vertically opposite angles)

Now,


x = y = 130o (Alternate interior angles)

Hence,

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

AB || CD

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