Understanding Supplementary Angles: Definition, Examples, and Everyday Applications

supplementary angles

two angles whose measures have a sum of 180 degrees

Supplementary angles are a pair of angles whose sum equals 180 degrees. In other words, if two angles are supplementary, they can be placed side by side and they will form a straight line.

For example, let’s say we have two angles, A and B. If A + B = 180 degrees, then A and B are supplementary angles.

Supplementary angles can be found in many everyday situations. For instance, the angles of a rectangular shape are always supplementary (i.e., 90 degrees + 90 degrees = 180 degrees). Also, if you’re standing on a flat surface, the angle between your feet and the ground is 90 degrees. Thus, the angle between your feet and the ground on a flat surface and the angle between your feet and the ground when you’re standing on your head are supplementary angles.

It’s worth noting that supplementary angles don’t have to be equal in value. For instance, one angle could be 30 degrees and the other could be 150 degrees, and they would still be supplementary because 30 + 150 = 180. Finally, if two angles are complementary (i.e., their sum is 90 degrees), they are not supplementary.

More Answers:
Understanding Acute Angles: Properties, Applications, and Measurement
Understanding Transversals: Angle Relationships and Applications in Geometry
Understanding Parallel Lines: Properties, Identification, and Applications in Math and Real-Life

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