Angles a

Question

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°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. If \( m\angle b = 43^\circ \), we can find \( m\angle a \) using the equation:

\[ m\angle a + m\angle b = 180^\circ \]

Substituting the value of \( m\angle b \):

\[ m\angle a + 43^\circ = 180^\circ \]

Now, subtract \( 43^\circ \) from both sides:

\[ m\angle a = 180^\circ - 43^\circ = 137^\circ \]

Thus, the value of \( m\angle a \) is \( 137^\circ \).

The correct response is:

137°