Angles a

Question

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

223°
223 degrees

137°
137 degrees

47°
47 degrees

43°

Answer 1

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, solve for \( m∠a \):

\[ m∠a = 180° - 43° = 137° \]

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

The correct response is:

137°