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Angles in arithmetic progression

Source: 1976 AHSME Problem 14

May 17, 2014
AMC

Problem Statement

The measures of the interior angles of a convex polygon are in arithmetic progression. If the smallest angle is 100∘100^\circ, and the largest is 140∘140^\circ, then the number of sides the polygon has is
<spanclass=′latex−bold′>(A)</span>6<spanclass=′latex−bold′>(B)</span>8<spanclass=′latex−bold′>(C)</span>10<spanclass=′latex−bold′>(D)</span>11<spanclass=′latex−bold′>(E)</span>12<span class='latex-bold'>(A) </span>6\qquad<span class='latex-bold'>(B) </span>8\qquad<span class='latex-bold'>(C) </span>10\qquad<span class='latex-bold'>(D) </span>11\qquad <span class='latex-bold'>(E) </span>12
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