To solve for \( x \) using the measures of the vertical angles, we know that vertical angles are congruent. Therefore, we can set the measures of the angles equal to each other:
\[ m∠1 = m∠2 \]
Substituting the given expressions, we have:
\[ 106° = (3x - 75)° \]
Now, to derive the equation based on the vertical angles, we will rearrange it as:
\[ 3x - 75 = 106 \]
So, the correct equation to solve for \( x \) is:
\[ 3x° - 75° = 106° \]
Thus, the answer is:
3x°−75°=106°