In the given figure, check if $x+y=p+q$."
Given: In the given figure two transversals intersect two parallel lines $AB$ and $CD$.
To do: To check if $x+y=p+q$.
Solution:
As known, when a transversal intersects two parallel lines, alternative interior angles are equal.
$\Rightarrow \angle x=\angle p\ ......\ ( i)$
And similarly, $\angle y=\angle q\ .....\ ( ii)$
On adding $( i)$ and $( ii)$,
$\angle x+ \angle y=\angle x+\angle y$
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