Supplementary angles are two angles that add up to 180 degrees. Given the measures of the angles as \( m∠ABC = 105° \) and \( m∠CBD = (3x - 24)° \), we can set up the equation as follows:
\[ m∠ABC + m∠CBD = 180° \]
Substituting the given values, we have:
\[ 105° + (3x - 24)° = 180° \]
To express the equation in the format you requested:
\[ (3x - 24)° + 105° = 180° \]
This is the equation you would use to solve for \( x \).
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