To find the equation to solve for \( x \) using the information given about two supplementary angles \( \angle ABC \) and \( \angle CBD \), we start by noting that supplementary angles sum to \( 180^\circ \).
You have:
- \( \angle ABC = (3x + 25)^\circ \)
- \( \angle CBD = 32^\circ \)
Since these two angles are supplementary, we can set up the equation as follows:
\[ (3x + 25) + 32 = 180 \]
Now, combine the constant terms on the left side:
\[ 3x + 25 + 32 = 180 \]
\[ 3x + 57 = 180 \]
Now, to put it in the required form \( ___x° + __ = 180 \):
You can rewrite the equation as:
\[ 3x + 57 = 180 \]
Thus, the equation we can use is:
\[ 3x + 57 = 180 \]
To express it in the simplest form that follows the specific case requested:
- The coefficient of \( x \) is \( 3 \)
- The constant on the left side is \( 57 \)
So you can fill in the blanks as follows:
3x + 57 = 180