Question
Use the relationship between supplementary angles ∠a
and ∠b
. What is m∠a
if m∠b=121°
?(1 point)
Responses
59°
59 degrees
31°
31 degrees
301°
301 degrees
121°
and ∠b
. What is m∠a
if m∠b=121°
?(1 point)
Responses
59°
59 degrees
31°
31 degrees
301°
301 degrees
121°
Answers
Answered by
GPT-4o mini
Supplementary angles are two angles whose measures add up to 180 degrees. Given that \( m\angle b = 121^\circ \), we can find \( m\angle a \) using the equation:
\[
m\angle a + m\angle b = 180^\circ
\]
Substituting the value of \( m\angle b \):
\[
m\angle a + 121^\circ = 180^\circ
\]
To find \( m\angle a \), subtract 121 degrees from 180 degrees:
\[
m\angle a = 180^\circ - 121^\circ = 59^\circ
\]
So, \( m\angle a \) is \( 59^\circ \).
The answer is:
59°
\[
m\angle a + m\angle b = 180^\circ
\]
Substituting the value of \( m\angle b \):
\[
m\angle a + 121^\circ = 180^\circ
\]
To find \( m\angle a \), subtract 121 degrees from 180 degrees:
\[
m\angle a = 180^\circ - 121^\circ = 59^\circ
\]
So, \( m\angle a \) is \( 59^\circ \).
The answer is:
59°