It means what remains to make up a whole.
A common usage is supplementary angle and, for a given angle, the supplement is 180 less the given angle.
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Two supplementary angles add up to 180 degrees
Supplementary angles are angles that add up to 180 degrees
88 and 92 are supplementary angles
It is complementary to one angle, supplementary to another.
In statistics it could mean the sum of the values for the y-variable.