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

43°
43 degrees

47°

Answer 1

Supplementary angles are two angles whose measures add up to \(180^\circ\).

Given that \(m∠b = 43^\circ\), we can find \(m∠a\) using the equation:

\[ m∠a + m∠b = 180^\circ \]

Substituting the value of \(m∠b\):

\[ m∠a + 43^\circ = 180^\circ \]

To find \(m∠a\), subtract \(43^\circ\) from \(180^\circ\):

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

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

The correct response is:

137°