To find the supplementary angle equation involving the given angles \( m∠ABC = 135° \) and \( m∠CBD = 9x° \), we know that supplementary angles sum up to \( 180° \). Therefore, we can set up the following equation:
\[ m∠ABC + m∠CBD = 180° \]
Substituting the measures of the angles:
\[ 135° + 9x° = 180° \]
This can be rewritten as:
\[ 9x° + 135° = 180° \]
Thus, the correct equation to solve for \( x \) is:
9x° + 135° = 180° (first response).