Question
The measure of an angle is
Ask by Barnett Ross. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The supplementary angle is
Solution
- Recall that supplementary angles add up to
. - Let
be the measure of the supplementary angle. Then, we have - Solve for
by subtracting from both sides: - Compute the subtraction:
Thus, the measure of the supplementary angle is
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Simplify this solution Mind Expander
To find the measure of the supplementary angle, you simply subtract the given angle from
This means the supplementary angle measures
Did you know that the concept of supplementary angles has been used since ancient times and is a crucial part of geometry? Ancient Greeks, like Euclid, laid the groundwork for understanding angles and their relationships, which still impacts how we study geometry today!
When working with angles, many people often forget that only two angles can be supplementary per the definition, leading to confusion with other angle types. Just remember—if the sum isn’t
