Use the relationship between supplementary angles ∠a

Question

and ∠b
. What is m∠a
if m∠b=121°
?(1 point)
Responses

31°
31 degrees

121°
121 degrees

59°
59 degrees

301°

Answer 1

Supplementary angles are two angles that add up to 180 degrees. Given that \( m∠b = 121° \), we can find \( m∠a \) using the formula:

\[ m∠a + m∠b = 180° \]

Substituting the given value:

\[ m∠a + 121° = 180° \]

Now, solve for \( m∠a \):

\[ m∠a = 180° - 121° = 59° \]

Therefore, \( m∠a \) is \( 59° \).

The correct response is 59°.