Supplementary angles
Two angles that add together to equal 180 degrees
Supplementary angles are a pair of angles whose sum is equal to 180 degrees. This means that if you add the measure of one of the angles to the measure of the other angle, the total will be 180 degrees.
For example, if one angle measures 60 degrees, the supplementary angle would measure 120 degrees, since 60 + 120 = 180.
Supplementary angles are commonly used in geometry, especially when working with parallel lines and transversals. When two parallel lines are intersected by a transversal, the angles formed are either supplementary or congruent.
Recognizing supplementary angles can also be useful in solving equations involving angles. For instance, if you know that two angles are supplementary, you can set up an equation where the sum of the two angles is equal to 180 degrees and then solve for one of the angles.
It’s important to note that supplementary angles do not have to be adjacent, meaning they do not have to be next to each other. As long as the sum of their measures equals 180 degrees, they are considered supplementary.
Overall, understanding the concept of supplementary angles can help in solving geometry problems and understanding the relationship between different angles.
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