To solve for \( x \) using the information given about the two supplementary angles, we start with the definitions and properties of supplementary angles. Two angles are supplementary if the sum of their measures equals \( 180^\circ \).
We have:
- \( m∠ABC = 105^\circ \)
- \( m∠CBD = (3x−24)^\circ \)
Since these angles are supplementary, we can write the equation:
\[ m∠ABC + m∠CBD = 180^\circ \]
Substituting the given values into the equation:
\[ 105^\circ + (3x - 24)^\circ = 180^\circ \]
To write the equation in the requested format, we can rearrange it as follows:
\[ (3x - 24)^\circ + 105^\circ = 180^\circ \]
So, the equation to solve for \( x \) is:
\[ (3x - 24)° + 105° = 180° \]
1 answer