Answer: x = 23
Explanation:
Angle in a X shape, the two 'opposite' eachother must be the same so angle HGC is 14
Angle in a Z shape where the lines of the Z are parralell, the two innercorner angles of the Z must be the same os angle GCE must be 14
In triangle GEC we now know two out of the three angles 78 and 14 and we know that angles in a trianlge add up to 180 so the missing angle GEC must be 180-78-14=88
Angles on a straight line must add up to 180 so 4x+88=180
Then this can be used to figure out x
4x+88=180
4x = 92
x = 23