Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle?(1 point)
Let's represent ∠2 as x and ∠4 as y. Since they are a vertical pair, they are equal, so x = y.
The sum of their measures is 110°, so x + y = 110°.
Since x = y, we can substitute x for y in the equation, giving us:
x + x = 110°.
Simplifying, we have:
2x = 110°.
Dividing both sides by 2, we get:
x = 55°.
Therefore, the value of each angle is 55°.