Given that ∠2 and ∠4 are a vertical pair of angles and their measures add up to 110°, we can express this relationship using the equation:
\[ \angle 2 + \angle 4 = 110° \]
Since ∠2 and ∠4 are vertical angles, their measures are equal:
\[ \angle 2 = \angle 4 \]
If we let \( x \) represent the measure of each angle, we can write:
\[ x + x = 110° \]
This simplifies to:
\[ 2x = 110° \]
To solve for \( x \), we can rearrange the equation:
\[ x = \frac{110°}{2} \]
Thus:
\[ x = 55° \]
So the equation to solve for the value of each angle is:
\[ 2x = 110° \]
Which means both angles measure 55°.
In the requested format:
\[ 2x° = 110° \]