The solution for x is approximately 8.
The angle above, which measures 40 degrees due to its vertical relationship with the 180 - 140 angle, has a corresponding angle on the opposite side also measuring 40 degrees by the property of vertical angles.
Expressing this relationship in equations:
The angle above is represented as 6x - 8 = 40 degrees.
Adding 8 to both sides gives us 6x = 48.
Finally, dividing by 6 on both sides yields x = 8.
So, the solution for x is approximately 8.