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

301°
301 degrees

31°
31 degrees

59°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees.

Given that \( m∠b = 121° \),

To find \( m∠a \), we use the relationship:

\[ m∠a + m∠b = 180° \]

Substituting the given value:

\[ m∠a + 121° = 180° \]

Solving for \( m∠a \):

\[ m∠a = 180° - 121° \]
\[ m∠a = 59° \]

So, \( m∠a \) is \( 59° \).

The correct response is:
- 59°