Use the relationship between supplementary angles ∠a

Question

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

121°
121 degrees

59°
59 degrees

301°
301 degrees

31°
31 degrees

Answer 1

Supplementary angles add up to 180°. If \( m∠b = 121° \), we can find \( m∠a \) using the equation:

\[ m∠a + m∠b = 180° \]

Substituting the value of \( m∠b \):

\[ m∠a + 121° = 180° \]

Now, subtract \( 121° \) from both sides:

\[ m∠a = 180° - 121° = 59° \]

So, the measure of angle \( a \) is:

59°