Mathematics

$$\begin{array} { l } { \text { In fig. find the values of } x \text { and } y \text { and then } } \\ { \text { Show that } A B \| C D } \end{array}$$


ANSWER

$$x=130$$ and $$y=130$$


SOLUTION
From given figure

$$50^o+x=180^o$$.......(Linear pair)

$$x=180^o-50^o$$

$$x=130^o$$

Also,

$$y=130^o$$  .........(vertically opposite angles)

$$\therefore x=y$$

So, alternate angles are equal

If a transversal intersects two lines such that pair of alternate interior angles are equal, then lines are parallel.
$$AB||CD$$
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