Because of the Vertical Angles theorem, we know that the two expressions are equal.
6x - 35 = 4x + 11
Add 35 to both sides: 6x = 4x + 46
Subtract 4x from both sides: 2x = 46
Divide by 2 on both sides: x = 23
Now, insert x into one of the equations: 6(23) - 35
138 + 35
103
103 + K = 180
Subtract 103 from both sides: K = 77
K = 77