In the context of angles, two angles whose sum is 90 degrees or pi/2 radians.
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Complimentary angles are two or more angles that add up to 90 degrees
The complimentary color of blue is orange.
Adding up to 90. 40 degrees and 50 degrees are complementary angles. This is contrasted with supplementary, which means adding up to 180.
Angles are complimentary or supplementary. Lines aren't.
Complimentary Angles are those, when added, will sum up to be 90.