To set up the equation for the two supplementary angles, you need to use the information given:
- The measure of angle \( \angle ABC = (3x + 25)^\circ \)
- The measure of angle \( \angle CBD = 32^\circ \)
Since these two angles are supplementary, their measures add up to 180 degrees:
\[ (3x + 25) + 32 = 180 \]
Now, simplify the equation:
\[ 3x + 25 + 32 = 180 \] \[ 3x + 57 = 180 \]
Thus, the final equation in simplest terms is:
\[ 3x + 57 = 180 \]
This means you can express your answer as:
\[ 3x + 57^\circ = 180^\circ \]
If you need to write it in the specific format mentioned in your question:
\[ 3x + 57 = 180 \]
So the equation to solve for x is:
Answer: \(3x + 57 = 180\)