Understanding Supplementary Angles: How to Find the Measure of One Angle If You Know the Measure of the Other

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, the sum of their measures is equal to 180 degrees.

When two angles are supplementary, they form a straight line together. This means that if you have one angle and you know it is supplementary to another angle, you can find the measure of the second angle by subtracting the measure of the first angle from 180 degrees.

For example, let’s say we have angle A and angle B, and we know that angle A is 90 degrees. We can determine the measure of angle B by subtracting 90 degrees from 180 degrees.

Angle B = 180 degrees – Angle A
Angle B = 180 degrees – 90 degrees
Angle B = 90 degrees

So in this case, angle A and angle B are supplementary angles with measures of 90 degrees each.

It is important to note that supplementary angles do not have to be adjacent (next to each other) or even in the same shape. They can be two angles in completely different figures or even in different locations. As long as their measures add up to 180 degrees, they are supplementary.

Supplementary angles can be helpful when solving problems involving missing angles in geometric figures. If you know that two angles are supplementary, you can use this information to find the measure of one angle if you know the measure of the other angle.

In summary, supplementary angles are two angles that add up to 180 degrees. By knowing this relationship, you can determine the measure of one angle if you know the measure of the other angle.

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