Answer:
x = 13 5/13°
Step-by-step explanation:
The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...
(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°
52x +24° = 720° . . . . . . collect terms
52x = 696° . . . . . . . . subtract 24
x = 13 5/13° . . . . . . divide by 52
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Additional comment
The angles, in the same order, are approximately ...
{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}
