Definition of Supplementary Angles
Supplementary angles are a pair of angles that add up to 180 degrees
Supplementary angles are a pair of angles that add up to 180 degrees. In other words, when you have two supplementary angles, the measure of one angle when added to the measure of the other angle will equal 180 degrees.
Suppose we have two angles, angle A and angle B. If angle A measures x degrees, and angle B measures y degrees, then we can say that angle A and angle B are supplementary if x + y = 180 degrees.
It is important to note that supplementary angles do not have to be adjacent or even adjacent in a geometric figure. They can be separate angles anywhere in a figure, as long as their measures add up to 180 degrees.
For example, let’s say angle A measures 120 degrees. To find the measure of the supplementary angle, we subtract the measure of angle A from 180 degrees: Supplementary angle = 180 – 120 = 60 degrees. This means that angle B measures 60 degrees, and angle A and angle B are supplementary as their measures add up to 180 degrees.
Supplementary angles are often used in geometry to solve problems involving angles and geometric figures. By recognizing and utilizing the concept of supplementary angles, it becomes easier to find the measures of unknown angles or solve geometric equations involving angles.
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