Supplementary Angles
Two angles whose sum is 180 degrees
Supplementary angles are two angles whose sum is equal to 180 degrees. That is, if we add two angles together and their sum is exactly 180 degrees, then they are said to be supplementary angles.
Example: Let’s say we have two angles, angle A and angle B. If angle A measures 120 degrees, then angle B measures 60 degrees, because 120 + 60 = 180. Therefore, angle A and angle B are supplementary angles.
One important thing to note is that supplementary angles do not have to be adjacent (i.e. next to each other) or congruent (i.e. equal in measure). They just need to add up to 180 degrees.
Supplementary angles can be found in many different shapes and situations, but they are most commonly seen in a straight line. In this case, any two angles that sit on opposite sides of the line and share an endpoint are supplementary angles.
Another use of supplementary angles is in solving equations involving angles. If we know that two angles are supplementary, we can use this fact to solve for the measure of one angle if we know the measure of the other angle.
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