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Chapter 10: Problem 68

What are supplementary angles? Describe how to find the measure of an angle's supplement.

Short Answer

Expert verified
Supplementary angles are two angles that add up to 180 degrees. The measure of the supplement of a given angle can be found by subtracting the given angle from 180 degrees.

Step by step solution

01

Understand what supplementary angles are

Supplementary angles are a pair of angles that add up to 180 degrees. So, if you have one angle, the supplementary angle would be the one that, when added to the angle you have, would equal 180 degrees.
02

Subtract the given angle from 180

If you have an angle, say angle A, and you want to find its supplement, you would subtract it from 180. This is because the two angles (angle A and its supplement) add up to 180 degrees. So, the calculation would be \(180 - \text{angle A}\).
03

Find the supplement

The result of this calculation is the measure of the supplementary angle. That is, the supplement of angle A is \(180 - \text{angle A}\).

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