Supplementary Angles Quick Check

Question

3 of 53 of 5 Items

Question
Use the relationship between supplementary angles ∠a
and ∠b
. What is m∠a
if m∠b=121°
?(1 point)
Responses

121°
121 degrees

59°
59 degrees

31°
31 degrees

301°
301 degrees
Skip to navigation

page 11 of 11

Answer 1

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

\[ m∠a + m∠b = 180° \]

Substituting \( m∠b \) into the equation:

\[ m∠a + 121° = 180° \]

Now, subtract 121° from both sides to solve for \( m∠a \):

\[ m∠a = 180° - 121° \]

\[ m∠a = 59° \]

So, the answer is 59°.