MathDB
Pentagon Angles

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January 1, 2009
arithmetic sequence

Problem Statement

Let v v, w w, x x, y y, and z z be the degree measures of the five angles of a pentagon. Suppose v<w<x<y<z v < w < x < y < z and v v, w w, x x, y y, and z z form an arithmetic sequence. Find the value of x x. <spanclass=′latex−bold′>(A)</span> 72<spanclass=′latex−bold′>(B)</span> 84<spanclass=′latex−bold′>(C)</span> 90<spanclass=′latex−bold′>(D)</span> 108<spanclass=′latex−bold′>(E)</span> 120 <span class='latex-bold'>(A)</span>\ 72 \qquad <span class='latex-bold'>(B)</span>\ 84 \qquad <span class='latex-bold'>(C)</span>\ 90 \qquad <span class='latex-bold'>(D)</span>\ 108 \qquad <span class='latex-bold'>(E)</span>\ 120
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