Angles are complimentary or supplementary. Lines aren't.
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Alternate and supplementary
supplementary
They are if parallel lines are cut by a transversal that's perpendicular to them.
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
no, supplementary angles add to 180, and that definition has nothing to do with how parallel they are.