The relationship between vertical angles is that they are equal to each other. Given that \( m∠1 = 106° \) and \( m∠2 = (3x - 75)° \), you can set up the equation:
\[ 106° = (3x - 75)° \]
To solve for \( x \), you can rearrange this equation. However, none of the provided responses directly match this equation.
The correct equation to solve for \( x \) using the measures of the vertical angles would be:
\[ 3x - 75 = 106 \]
That can also be expressed as:
\[ 3x - 75° = 106° \]
So, the closest match from the options you've provided is:
3x°−75°=106°
This is the equation you can use to solve for \( x \).