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.