2002 AMC 12B Problem 5

Let v, w, x, y, and z be the degree measures of the five angles of a pentagon. Suppose that v < w < x < y < z and v, w, x, y, and z form an arithmetic sequence. Find the value of x.

\mathrm{(A)}\ 72 \qquad\mathrm{(B)}\ 84 \qquad\mathrm{(C)}\ 90 \qquad\mathrm{(D)}\ 108 \qquad\mathrm{(E)}\ 120

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