Problem:
The measures (in degrees) of the interior angles of a convex hexagon form an arithmetic sequence of positive integers. Let be the measure of the largest interior angle of the hexagon. The largest possible value of is
Answer Choices:
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E.
Solution:
Let be the common difference of the arithmetic sequence. The sum of the interior angles of the hexagon,
shows that , so is divisible by . Because the hexagon is convex, . Because , there is such a hexagon and is the answer