Mathematics

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

$x=130$ 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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Single Correct Medium Published on 09th 09, 2020
Questions 120418
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#### Realted Questions

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1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
In questions $1$ and $2,$ given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles:

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