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°=__°

1 answer

Let's assume that angle 2 measures x degrees. Since angle 2 and angle 4 are vertical angles, they are equal in measure. Therefore, angle 4 also measures x degrees.

The sum of the measures of angle 2 and angle 4 is equal to 110 degrees.

So, the equation that will solve for the value of each angle is:

x + x = 110

Simplifying the equation, we get:

2x = 110

To find the value of x, we divide both sides of the equation by 2:

x = 110/2

x = 55

Therefore, angle 2 and angle 4 both measure 55 degrees.

So, the equation that solves for the value of each angle is:

x° = 55°.