Angles a and b are supplementary angles. What is the value of  m∠a if  m∠b=43° ?(1 point)

Responses

43°
43 degrees

137°
137 degrees

47°
47 degrees

223°

1 answer

Supplementary angles are two angles whose measures add up to 180 degrees. Given that \( m∠b = 43° \), 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 both sides:

\[ m∠a = 180° - 43° \] \[ m∠a = 137° \]

Therefore, the value of \( m∠a \) is 137°.