Remark
I think we are to assume that the line is a straight one and that it contains a total of 180o at the intersection.
Equation
2x + 7 + 6x - 9 = 180o
Solve
Combine the like terms on the left.
2x + 6x + 7 - 9 = 180
8x - 2 = 180o Add 2 to both sides.
8x - 2 + 2 = 180 + 2
8x = 182 Divide by 10
8x/8 = 182/8
x = 22.75
But that is not the answer.
You need to find 6x - 9
Angle = 6x - 9
Angle = 6*18.2 - 9
Angle = 127.5 <<<<< Answer.