{"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$\\textbf{(A)}\\ 5\\qquad\\textbf{(B)}\\ 6\\qquad\\textbf{(C)}\\ 8\\qquad\\textbf{(D)}\\ 10\\qquad\\textbf{(E)}\\ 12$", "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>\n<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>\n<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": 1, "problem_name": "2012 AMC 10A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p11", "prev": "/problem/12_amc10A_p09"}}