Question

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)
x°=°

Answer 1

Let's assume that ∠2 measures x°. Since ∠2 and ∠4 are a vertical pair, ∠4 measures x° as well. Thus, the equation for solving for the value of each angle is:

x° + x° = 110°

Simplifying the equation, we get:

2x° = 110°

Dividing both sides of the equation by 2, we get:

x° = 55°

Therefore, each angle measures 55°.