supplementary angles
Two angles whose sum is 180 degrees
Supplementary angles are pairs of angles that add up to 180 degrees. In other words, if two angles are supplementary, when they are combined, their sum will equal 180 degrees. A classic example of supplementary angles are two angles that form a straight line, such as a line that divides a circle into two equal halves. If one angle measures 60 degrees, the other angle must measure 120 degrees to add up to the 180 degrees needed to form a straight line.
Another example would be in a right triangle, where one angle measures 90 degrees. The other two angles must add up to 90 degrees, making them supplementary angles. One angle might measure 30 degrees, and the other angle would measure 60 degrees.
Supplementary angles are important in geometry and trigonometry because they can be used to solve problems involving angles and measurements. For example, if you know that two angles are supplementary and you know the measure of one angle, you can use that information to find the measure of the other angle. This can be useful in a variety of contexts, from construction to engineering to math and science.
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