Understanding Supplementary Angles: Definitions, Examples, and Properties in Geometry

Supplementary

When it comes to Geometry, the term “supplementary” is used to describe a pair of angles

When it comes to Geometry, the term “supplementary” is used to describe a pair of angles. Supplementary angles are angles that add up to a total of 180 degrees.

In other words, if you have two angles that are supplementary, when you add their angle measures together, the sum will be 180 degrees. This means that the two angles, when placed next to each other, will form a straight line.

For example, let’s say we have angle A and angle B. If angle A measures 45 degrees, and angle B is supplementary to angle A, this means angle B would have to have an angle measure of 135 degrees (180 – 45 = 135). When you add the measures of angles A and B together (45 + 135), you get 180 degrees.

Supplementary angles can be found in various situations, such as when two lines intersect. The angles formed on either side of the intersection point would be supplementary.

Additionally, if you have a straight line and you divide it into two angles, those two angles would also be supplementary.

When working with supplementary angles, if you know the measurement of one angle, you can find the measurement of the other by subtracting it from 180 or vice versa.

In summary, supplementary angles are a pair of angles that add up to 180 degrees. They can be found in various situations, and if you know the measurement of one angle, you can find the measurement of the other by subtracting it from 180.

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