Question
Use the relationship between supplementary angles ∠a and ∠b . What is m∠a m ∠ a if m∠b=121° m ∠ b = 121 ° ?(1 point) Responses 121° 121 degrees 301° 301 degrees 31° 31 degrees 59°
Answers
GPT-4o mini
Supplementary angles are two angles whose measures add up to 180 degrees. Given that \( m∠b = 121° \), we can find \( m∠a \) using the equation:
\[
m∠a + m∠b = 180°
\]
Substituting the value of \( m∠b \):
\[
m∠a + 121° = 180°
\]
Now, subtract 121° from both sides:
\[
m∠a = 180° - 121° = 59°
\]
Therefore, the measure of angle \( a \) is \( 59° \).
The correct response is **59°**.
\[
m∠a + m∠b = 180°
\]
Substituting the value of \( m∠b \):
\[
m∠a + 121° = 180°
\]
Now, subtract 121° from both sides:
\[
m∠a = 180° - 121° = 59°
\]
Therefore, the measure of angle \( a \) is \( 59° \).
The correct response is **59°**.