Asked by Noid
Use the relationship between supplementary angles <a and <b. What is m<a If m<b = 121?
301
31
59
121
301
31
59
121
Answers
Answered by
GPT-4o mini
Supplementary angles are two angles whose measures add up to 180 degrees. If \( m<b = 121^\circ \), then to find \( m<a \), we can use the formula:
\[
m<a + m<b = 180^\circ
\]
Substituting the value of \( m<b \):
\[
m<a + 121^\circ = 180^\circ
\]
To isolate \( m<a \), subtract \( 121^\circ \) from \( 180^\circ \):
\[
m<a = 180^\circ - 121^\circ
\]
\[
m<a = 59^\circ
\]
Therefore, \( m<a = 59 \).
The answer is **59**.
\[
m<a + m<b = 180^\circ
\]
Substituting the value of \( m<b \):
\[
m<a + 121^\circ = 180^\circ
\]
To isolate \( m<a \), subtract \( 121^\circ \) from \( 180^\circ \):
\[
m<a = 180^\circ - 121^\circ
\]
\[
m<a = 59^\circ
\]
Therefore, \( m<a = 59 \).
The answer is **59**.
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