The sum of the interior angles of a hexagon is 720°. Then:
2x + 6 + 2x + 2x + 16 + 145 + 130 + 3x = 720
Combining similar terms
(2x + 2x + 2x + 3x) + (6 + 16 + 145 + 130) = 720
9x + 297 = 720
297 is adding on the left, then it will subtract on the right
9x = 720 - 297
9x = 423
9 is multiplying on the left, then it will divide on the right
x = 423/9
x = 47
Now, we can compute angle BCD, as follows:
∠BCD = 2x + 16
∠BCD = 2(47) + 16
∠BCD = 110°
∠BCD and ∠BCG are supplementary, then:
∠BCD + ∠BCG = 180°
110° + ∠BCG = 180°
∠BCG = 180° - 110°
∠BCG = 70°