Mathematics

In the figure, find the values of $x$ and $y$ and then show that $AB\parallel CD$.

SOLUTION
$x + 50^{\circ} = 180^{\circ}$ (Linear pair)

$\Rightarrow x = 130^{\circ}$

Also, $y = 130^{\circ}$ (Vertically opposite)

Now, $x = y = 130^{\circ}$ (Alternate interior angles)

Alternate interior angles are equal.

$\therefore AB \parallel CD.$

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Subjective Medium Published on 09th 09, 2020
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