x = 110
Angle 4 is a vertical angle to the 115 degrees angle. Therefore, it must be the same in degree measure. So, we know angle 4 is 115 degrees.
Additionally, angle 4 and angle (x+5) are co-interior angles. This means that they should add up to 180 degrees.
Applying these concepts, we can create an equation:
115 + (x+5) = 180.
When we solve, we end up with x = 110