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In Figure, find the values of x and y and then show that AB CD.

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In Figure, find the values of x and y and then show that AB CD.

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We know that a linear pair is equal to 180°.

x + 50° = 180°

∴ x = 130°

We also know that vertically opposite angles are equal.

y = 130°

In two parallel lines, the alternate interior angles are equal. In this,

x = y = 130°

This proves that alternate interior angles are equal and AB CD.

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