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morgeron
wow...we have lots of numbers to go through.  we know that a 6 sided figure is a hexagon and the interior angles add up to be 720°. so.....

∠A + ∠B + ∠ C + ∠D + ∠E + ∠F = 720°
(x - 60) + (x - 40) + 130 + 120 + 110 + (x - 20) = 720
3x + 240 = 720      (combined all like terms)
3x = 480                (subtracted 240 from both sides)
x = 160                  (divided both sides by 3)

put the value of x into ∠A  (x - 60) = 160 - 60 = 100

∠A = 100°

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