{"status": "success", "data": {"description_md": "Mary divides a circle into $12$ sectors.  The central angles of these sectors, measured in degrees, are all integers and they form an arithmetic sequence.  What is the degree measure of the smallest possible sector angle?\n\n$\\textbf{(A)}\\ 5\\qquad\\textbf{(B)}\\ 6\\qquad\\textbf{(C)}\\ 8\\qquad\\textbf{(D)}\\ 10\\qquad\\textbf{(E)}\\ 12$\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>Mary divides a circle into  <span class=\"katex--inline\">12</span>  sectors.  The central angles of these sectors, measured in degrees, are all integers and they form an arithmetic sequence.  What is the degree measure of the smallest possible sector angle?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 5\\qquad\\textbf{(B)}\\ 6\\qquad\\textbf{(C)}\\ 8\\qquad\\textbf{(D)}\\ 10\\qquad\\textbf{(E)}\\ 12</span> </p>&#10;<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2012 AMC 12A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc12A_p08", "prev": "/problem/12_amc12A_p06"}}