{"status": "success", "data": {"description_md": "A star polygon is drawn on a clock face by drawing a chord from each number to the fifth number counted clockwise from that number. That is, chords are drawn from $12$ to $5$, from $5$ to $10$, from $10$ to $3$, and so on, ending back at $12$. What is the degree measure of the angle at each vertex in the star polygon?\n\n$\\mathrm{(A)}\\ 20\\qquad \\mathrm{(B)}\\ 24\\qquad \\mathrm{(C)}\\ 30\\qquad \\mathrm{(D)}\\ 36\\qquad \\mathrm{(E)}\\ 60$\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>A star polygon is drawn on a clock face by drawing a chord from each number to the fifth number counted clockwise from that number. That is, chords are drawn from <span class=\"katex--inline\">12</span> to <span class=\"katex--inline\">5</span>, from <span class=\"katex--inline\">5</span> to <span class=\"katex--inline\">10</span>, from <span class=\"katex--inline\">10</span> to <span class=\"katex--inline\">3</span>, and so on, ending back at <span class=\"katex--inline\">12</span>. What is the degree measure of the angle at each vertex in the star polygon?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 20\\qquad \\mathrm{(B)}\\ 24\\qquad \\mathrm{(C)}\\ 30\\qquad \\mathrm{(D)}\\ 36\\qquad \\mathrm{(E)}\\ 60</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": "2007 AMC 12A Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12A_p09", "prev": "/problem/07_amc12A_p07"}}