To find the equation to solve for \( x \), we start by using the fact that supplementary angles sum up to \( 180^\circ \).
We have:
- \( m∠ABC = 105^\circ \)
- \( m∠CBD = (3x - 24)^\circ \)
Since these two angles are supplementary, we can set up the following equation:
\[ m∠ABC + m∠CBD = 180^\circ \]
Substituting in the values we have:
\[ 105^\circ + (3x - 24)^\circ = 180^\circ \]
Now, to fill in the blanks:
(3x − 24)° + 105° = 180°
So the equation is:
\[ (3x - 24) + 105 = 180 \]
This provides you with the correct equation to solve for \( x \).