Supplementary Angles Quick Check

Question

4 of 54 of 5 Items

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

47°
47 degrees

43°
43 degrees

223°
223 degrees

137°
137 degrees
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Answer 1

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

\[ m∠a + m∠b = 180° \]

Substituting the value for \( m∠b \):

\[ m∠a + 43° = 180° \]

Now, subtract 43° from both sides:

\[ m∠a = 180° - 43° = 137° \]

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