The sum of the internal angles of a polygon of n sides is given by:
S = (n-2)*180°
The polygon ABCDEF has 6 sides, then the sum of its internal angles must be:
S = (6-2)*180° = 4*180° = 720°
Therefore, we have:
x° + 126° + 124° + (x + 8)° + (x - 34)° +130° = 720
x° + x° + 8° + x° - 34° + 380° = 720°
3x° + 354° = 720°
3x° = 366°
x = 122°
Then the answer is: