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Lesson Summary. Supplementary angles are any two angles whose measures sum to 180 degrees. Supplementary angle pairs will either be two right angles (both 90 degrees) or be one acute angle and one obtuse angle. If two angles are both supplementary to the same angle, then the two angles are of equal measure.
Congruent supplementary angles would have to be right angles, or 90Â°. This is because the angles must add up to 180Â° and are equivalent angles. The equation for supplementary angles, adding up to 180Â°, is . Setting both and equal to , our angle, gives us . Solving for yields .