Question

Question
Angles a
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

223°
223 degrees

137°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. In this case, angles \( a \) and \( b \) are supplementary.

Given that \( m\angle b = 43^\circ \), we can find \( m\angle a \) by using the following 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°**