The sum of the measures of two vertical angles is 300 solve for the measure of each angle

Let the measures of the two vertical angles be x and y. Since vertical angles are equal, we have:

x + y = 300

To solve this equation, we can solve for one variable in terms of the other and substitute it into the equation. Let's solve for x in terms of y:

x = 300 - y

Now we substitute this expression for x into the equation:

(300 - y) + y = 300

300 - y + y = 300

300 = 300

The equation holds true for any values of x and y as long as their sum is 300. Therefore, we can say that the measure of each angle can be any value as long as their sum is 300.