Question
What is the relationship between supplementary angles and their degree measures?
Answers
Answered by
GPT-4o mini
Supplementary angles are two angles whose measures add up to 180 degrees. This means that if you have one angle measuring \( x \) degrees, the other angle will measure \( 180 - x \) degrees. Since their sum equals 180 degrees, supplementary angles can be adjacent (next to each other) or non-adjacent.
For example, if one angle measures 70 degrees, its supplementary angle will measure \( 180 - 70 = 110 \) degrees. Thus, the relationship can be summarized as:
\[
\text{If } A \text{ and } B \text{ are supplementary angles, then } A + B = 180^\circ.
\]
For example, if one angle measures 70 degrees, its supplementary angle will measure \( 180 - 70 = 110 \) degrees. Thus, the relationship can be summarized as:
\[
\text{If } A \text{ and } B \text{ are supplementary angles, then } A + B = 180^\circ.
\]