{"status": "success", "data": {"description_md": "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 $x$.\n\n$\\mathrm{(A)}\\ 72\\qquad\\mathrm{(B)}\\ 84\\qquad\\mathrm{(C)}\\ 90\\qquad\\mathrm{(D)}\\ 108\\qquad\\mathrm{(E)}\\ 120$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Let <span class=\"katex--inline\">v, w, x, y,</span> and <span class=\"katex--inline\">z</span> be the degree measures of the five angles of a pentagon. Suppose that <span class=\"katex--inline\">v &lt; w &lt; x &lt; y &lt; z</span> and <span class=\"katex--inline\">v, w, x, y,</span> and <span class=\"katex--inline\">z</span> form an arithmetic sequence. Find the value of <span class=\"katex--inline\">x</span>.</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 72\\qquad\\mathrm{(B)}\\ 84\\qquad\\mathrm{(C)}\\ 90\\qquad\\mathrm{(D)}\\ 108\\qquad\\mathrm{(E)}\\ 120</span></p>&#10;<hr/>&#10;<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2002 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p06", "prev": "/problem/02_amc12B_p04"}}