To form the equation for the supplementary angles, we know that two angles are supplementary if their measures add up to \(180^\circ\).
Given:
- \(m∠ABC = 105^\circ\)
- \(m∠CBD = (3x - 24)^\circ\)
We can set up the equation as follows:
\[ m∠ABC + m∠CBD = 180^\circ \]
Substituting the given angle measures into the equation:
\[ 105^\circ + (3x - 24)^\circ = 180^\circ \]
Now, we can write the equation in a simpler form:
\[ 105 + (3x - 24) = 180 \]
This is the equation you can solve for \(x\).
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