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Question -

In the given figure, findthe values of x and y and then show that AB || CD.



Answer -

It can be observed that,

50º + x = 180º (Linear pair)

x = 130º … (1)

Also, y = 130º (Vertically opposite angles)

As x and y arealternate interior angles for lines AB and CD and also measures of these anglesare equal to each other, therefore, line AB || CD.

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