Angles a

Question

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

43°
43 degrees

47°
47 degrees

137°
137 degrees

223°

Answer 1

Supplementary angles are angles that 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 \( m∠b \):

\[ m∠a + 43° = 180° \]

To find \( m∠a \), we subtract \( 43° \) from \( 180° \):

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

Thus, the value of \( m∠a \) is \( 137° \). The correct response is:

137°