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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