Given angle 105 degrees:
1. Find the complement of the 105 degree angle: 75 degrees
2. Now we know that the vertical angle across from this 75 degree angle is also 75 degrees.
3. Now we know 2/3 angles in the bottom left triangle. (39+75+y = 180)
4. Solve for y, and y = 66 degrees
5. The vertical angle across from y is x, and it also is 66 degrees
Answer: 66 degrees