Vertical angles are equal, so you can set the measures of the two angles equal to each other. Given:
- \( m∠1 = 106° \)
- \( m∠2 = (3x - 75)° \)
Since \( m∠1 \) and \( m∠2 \) are vertical angles, you can write the equation:
\[ 3x - 75 = 106 \]
From the options provided, this corresponds to:
\[ 3x°−75°=106° \]
So, the correct response is 3x°−75°=106°.