Understanding Supplementary Angles: Explained and Illustrated

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, when two angles are supplementary, their measures combined will result in a straight line.

To understand supplementary angles better, let’s consider an example. Suppose you have two angles, angle A and angle B. If angle A measures 60 degrees, then angle B would have to measure 120 degrees to be supplementary to angle A since 60 degrees + 120 degrees equals 180 degrees. Similarly, if angle A measures 100 degrees, angle B would measure 80 degrees to be supplementary.

It is important to note that supplementary angles do not have to be adjacent (next to each other) or even similar in size. As long as the sum of their measures is 180 degrees, they are considered supplementary.

Here are a few key points to remember about supplementary angles:

1. The sum of the measures of supplementary angles is always 180 degrees.
2. Supplementary angles can be adjacent or non-adjacent.
3. Supplementary angles can have different shapes and sizes.
4. If two angles are supplementary, one angle is the supplement of the other.

When solving problems involving supplementary angles, you can use this knowledge to find missing angle measures. For example, if you are given one angle in a pair of supplementary angles, you can subtract that angle measure from 180 degrees to find the measure of the other angle.

I hope this explanation helps you understand the concept of supplementary angles. If you have any further questions, feel free to ask!

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