The measure of each of the vertical angles is 85 degrees.
It’s established that both of these angles are equal to each because they’re vertical equals. With this information we can make the equation 2x + 65 = 8x + 5. We then solve this equation for x.
2x + 65 = 8x + 5
60 = 6x
x = 10
We then plug the value of x into either of the equations for the angles, giving us the answer 85.