If ∠2 and ∠4 are vertical angles, then they are equal in measure. Let's denote the measure of ∠2 as \( x \) degrees. Since vertical angles are congruent, we can say that the measure of ∠4 is also \( x \) degrees.
Given that the sum of their measures is 110°, we can set up the following equation:
\[ x + x = 110° \]
This simplifies to:
\[ 2x = 110° \]
From this equation, you can solve for \( x \).
To write it in the form requested:
Equation: \[ 2x = 110° \]
This equation will help you find the measure of each angle. Solving for \( x \):
\[ x = \frac{110°}{2} = 55° \]
Thus, each angle measures 55°. The final equation can be presented in your requested format as:
Answer:
\( 2x = 110° \)