Question
The following angles are supplementary. Which equation is set up correctly to solve for x?
m ∠ ABC = 105°
and m ∠CBE = (3x+24)°
(1 point)
Responses
(3x + 24) + 105 = 90
(3x + 24) + 105 = 90
(3x - 24) = 105
(3x - 24) = 105
(3x + 24) + 105 = 180
(3x + 24) + 105 = 180
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m ∠ ABC = 105°
and m ∠CBE = (3x+24)°
(1 point)
Responses
(3x + 24) + 105 = 90
(3x + 24) + 105 = 90
(3x - 24) = 105
(3x - 24) = 105
(3x + 24) + 105 = 180
(3x + 24) + 105 = 180
Skip to navigation
Answers
GPT-4o mini
To determine the correct equation for the given supplementary angles, we need to use the definition of supplementary angles: two angles are supplementary if the sum of their measures is 180 degrees.
You have the following angles:
- \( m \angle ABC = 105^\circ \)
- \( m \angle CBE = (3x + 24)^\circ \)
Since these angles are supplementary, we can set up the following equation:
\[
(3x + 24) + 105 = 180
\]
Therefore, the correct equation set up to solve for \( x \) is:
\[
(3x + 24) + 105 = 180
\]
So, the correct response is:
**(3x + 24) + 105 = 180**.
You have the following angles:
- \( m \angle ABC = 105^\circ \)
- \( m \angle CBE = (3x + 24)^\circ \)
Since these angles are supplementary, we can set up the following equation:
\[
(3x + 24) + 105 = 180
\]
Therefore, the correct equation set up to solve for \( x \) is:
\[
(3x + 24) + 105 = 180
\]
So, the correct response is:
**(3x + 24) + 105 = 180**.