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No , lines m and n are not parallel lines always.
Step-by-step explanation:
Because the interior angles on the same side of the transversal are not equal always.
Only one condition arise when interior angles on the same side of the transversal are equal :-
when both interior angles are 90° each.
When a transversal intersects two lines, and only the interior angles on the same side of the transversal are SUPPLEMENTARY (sum to 180°) , then only the two lines are parallel.
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