Understanding Supplementary Angles | Definition, Examples, and Applications

Supplementary angles

Supplementary angles are pairs of angles that add up to 180 degrees

Supplementary angles are pairs of angles that add up to 180 degrees. In other words, if you have two angles and their measures sum to 180 degrees, then they are considered supplementary angles.

To better understand supplementary angles, let’s consider an example. Let’s say you have two angles, angle A and angle B. If angle A measures 120 degrees and angle B measures 60 degrees, we can determine if they are supplementary angles by adding their measures together: 120 + 60 = 180 degrees. Since the sum is 180 degrees, we can conclude that angle A and angle B are supplementary angles.

It’s important to note that supplementary angles do not have to be adjacent or have any specific orientation. They can be found in various configurations, such as vertically opposite angles, adjacent angles, or angles that are part of a larger shape. As long as their measures add up to 180 degrees, they are supplementary.

Supplementary angles are commonly used in geometry and trigonometry to solve various problems that involve angles and their relationships. For example, if you have a triangle where you know that two of its angles are supplementary, you can use that information to find the measure of the third angle.

To summarize, supplementary angles are a pair of angles that when added together result in a total measure of 180 degrees.

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