Question
Find whether the lines AB and CD are parallel or not.
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Answer

$\angle C I F+\angle F I J=180^{\circ} "[$ Linear pair $]$
$\angle C I F=180^{\circ}-\angle F I J$
$=180^{\circ}-50^{\circ}=130^{\circ}$
So, $\angle ALI =\angle CIF =130^{\circ}$.
If two parallel lines are intersected by a transversal, then each pair of corresponding angles are equal. Here, $\angle ALI =\angle CIF =130^{\circ}$ are two corresponding angles.
Hence, $A B \| C D$.

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