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 if each angle?

Answer 1

Let's call the measure of angle 2 as x.
Since angles 2 and 4 are vertical angles, the measure of angle 4 is also x.
Therefore, the sum of the measures of angles 2 and 4 is 2x.

We know that the sum of their measures is equal to 110°, so we can set up the equation:

2x = 110

To solve for x, we divide both sides of the equation by 2:

x = 110/2

Simplifying, we get:

x = 55

So, the measure of each angle (both angles 2 and 4) is 55°.