1991 AHSME Problem 12

The measures (in degrees) of the interior angles of a convex hexagon form an arithmetic sequence of integers. Let m be the measure of the largest interior angle of the hexagon. The largest possible value of m, in degrees, is

\textbf{(A) } 165\qquad \textbf{(B) } 167\qquad \textbf{(C) } 170\qquad \textbf{(D) } 175\qquad \textbf{(E) } 179

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.