Two intersecting lines create four angles /_1 and /_3 Are a vertical pair there's some of their measures is equal to 68 degrees what equation solves for the value of each angle?

1 answer

Let's assume that /_1 and /_3 are the measures of the angles formed by the intersecting lines. Since they are vertical angles, their measures are equal. Let's call their measure x degrees.

According to the given information, the sum of the measures of /_1 and /_3 is equal to 68 degrees. Therefore, we can write the equation:

x + x = 68

Simplifying the equation, we get:

2x = 68

Finally, solving for x, we divide both sides of the equation by 2:

x = 34

So, each angle, /_1 and /_3, has a measure of 34 degrees.