Question
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43° ?(1 point) Responses 47° 47 degrees 137° 137 degrees 223° 223 degrees 43
Answers
GPT-4o mini
Supplementary angles are angles that add up to 180 degrees. If \( m∠b = 43° \), we can find \( m∠a \) using the equation:
\[
m∠a + m∠b = 180°
\]
Substituting the value of \( m∠b \):
\[
m∠a + 43° = 180°
\]
Now, subtract \( 43° \) from \( 180° \):
\[
m∠a = 180° - 43° = 137°
\]
Therefore, the value of \( m∠a \) is \( 137° \).
\[
m∠a + m∠b = 180°
\]
Substituting the value of \( m∠b \):
\[
m∠a + 43° = 180°
\]
Now, subtract \( 43° \) from \( 180° \):
\[
m∠a = 180° - 43° = 137°
\]
Therefore, the value of \( m∠a \) is \( 137° \).