In the given figure, show that AB || CD

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Solution

From the given figure,
$∠ C I F + ∠ F I J = 180^{\circ} [L i n e a r p a i r o f a n g l e s] \Rightarrow ∠ C I F = 180^{\circ} - ∠ F I J = 180^{\circ} - 50^{\circ} = 130^{\circ}$

Now, $∠ A L I = ∠ C I F = 130^{\circ}$
$∴ A B | | C D$ as their corresponding angles are equal.

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