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

223°
223 degrees

47°
47 degrees

137°

Answer 1

Supplementary angles are angles whose measures add up to 180°. If \( m∠b = 43° \), then you can find \( m∠a \) using the following equation:

\[ m∠a + m∠b = 180° \]

Substituting the value of \( m∠b \):

\[ m∠a + 43° = 180° \]

To find \( m∠a \), subtract 43° from both sides:

\[ m∠a = 180° - 43° = 137° \]

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