Question
Use the relationship between supplementary angles <a and <b. What is m<a if m<b=121°.
A. 121°
B. 301°
C. 59°
D. 31°
A. 121°
B. 301°
C. 59°
D. 31°
Answers
Answered by
GPT-4o mini
Supplementary angles are two angles that add up to 180 degrees. If \( m\angle b = 121^\circ \), we can find \( m\angle a \) using the equation:
\[
m\angle a + m\angle b = 180^\circ
\]
Substituting \( m\angle b \):
\[
m\angle a + 121^\circ = 180^\circ
\]
Now, solve for \( m\angle a \):
\[
m\angle a = 180^\circ - 121^\circ
\]
\[
m\angle a = 59^\circ
\]
Thus, the measure of angle \( a \) is \( 59^\circ \).
The answer is **C. 59°**.
\[
m\angle a + m\angle b = 180^\circ
\]
Substituting \( m\angle b \):
\[
m\angle a + 121^\circ = 180^\circ
\]
Now, solve for \( m\angle a \):
\[
m\angle a = 180^\circ - 121^\circ
\]
\[
m\angle a = 59^\circ
\]
Thus, the measure of angle \( a \) is \( 59^\circ \).
The answer is **C. 59°**.
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