Since lines A and B are parallel, this makes the corresponding angles (8x+2) and (14x-76) to be equal.
So the equation we need to solve is 8x+2 = 14x-76
If you solve that equation, you should end up with x = 13. Plugging x = 13 into either 8x+2 or 14x-76 would lead to the result of 106. So each corresponding angle is 106 degrees.