The sum of the interior angle measures for any \(n\)-sided polygon equals \(180(n – 2).\) If Polygon \(A\) has interior

The sum of the interior angle measures for any \(n\)-sided polygon equals \(180(n – 2).\) If Polygon \(A\) has interior angle measures that correspond to a set of consecutive integers, and if the median angle measure for Polygon \(A\) is \(140^{\circ},\) what is the smallest angle measure in the polygon?

(A) \(130^{\circ}\)
(B) \(135^{\circ}\)
(C) \(136^{\circ}\)
(D) \(138^{\circ}\)
(E) \(140^{\circ}\)

Answer: C

Source: Manhattan GMAT