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Complementary angles are two angles with a sum of 90Âº. Supplementary angles are two angles with a sum of 180Âº. Vertical angles are two angles whose sides form two pairs of opposite rays. We can think of these as opposite angles formed by an X. The Lesson:
DEFINITIONS complementary angles, supplementary angles. Two angles are complementary iff the sum of their measures is $\,90^{\circ}\,$. Two angles are supplementary iff the sum of their measures is $\,180^{\circ}\,$. In particular: if $\,\angle 1\,$ and $\,\angle 2\,$ are complementary, then $\,m\angle 1+ m\angle 2 = 90^{\circ}\,$. if $\,\angle 1\,$ and $\,\angle 2\,$ are supplementary, then $\,m\angle 1+ m\angle 2 = 180^{\circ}\,$.