To solve for \( x \) where \( m∠1 \) and \( m∠2 \) are vertical angles, we set them equal to each other because vertical angles are equal in measure.
Given:
- \( m∠1 = 2x - 24° \)
- \( m∠2 = 86° \)
So, the equation we can set up is:
\[ 2x - 24 = 86 \]
Therefore, the correct response is:
2x - 24 = 86