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Does there exist a hexagon whose 6 vertices lie on a circle, and whose internal angles are 70∘,90∘,110∘,130∘,150∘,170∘70^\circ, 90^\circ, 110^\circ, 130^\circ, 150^\circ, 170^\circ70∘,90∘,110∘,130∘,150∘,170∘ in some order?
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