Understanding Supplementary Angles | Explained with Examples and Properties

Supplementary Angles

Supplementary angles are a pair of angles that add up to 180 degrees

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

To visualize this concept, imagine two intersecting lines. At the point where they intersect, four angles are formed. If two of these angles are adjacent (meaning they share a common vertex and side), then they are supplementary angles because their sum is 180 degrees.

For example, let’s say we have angle A and angle B. If angle A measures 100 degrees, then angle B would measure 80 degrees, since 100 + 80 = 180. Therefore, angle A and angle B are supplementary angles.

Supplementary angles can also be identified by their relationship to a straight line. A straight line forms an angle of 180 degrees, so if you have two angles that together form a straight line, then they are supplementary angles.

It is important to note that supplementary angles do not have to be adjacent or next to each other. They can be located anywhere, as long as their sum is 180 degrees.

Supplementary angles have several properties. One property is that the sum of their measures is always 180 degrees. Another property is that if one angle of a supplementary pair is acute (less than 90 degrees), then the other angle must be obtuse (greater than 90 degrees).

These properties can be used to solve problems involving supplementary angles. For example, if you know the measure of one angle in a supplementary pair, you can find the measure of the other angle by finding the difference between 180 degrees and the known angle.

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