{"status": "success", "data": {"description_md": "The internal angles of quadrilateral $ABCD$ form an arithmetic progression. Triangles $ABD$ and $DCB$ are similar with $\\angle DBA = \\angle DCB$ and $\\angle ADB = \\angle CBD$. Moreover, the angles in each of these two triangles also form an arithmetic progression. In degrees, what is the largest possible sum of the two largest angles of $ABCD$?\n\n$\\textbf{(A)}\\ 210 \\qquad \\textbf{(B)}\\ 220 \\qquad \\textbf{(C)}\\ 230 \\qquad \\textbf{(D)}\\ 240 \\qquad \\textbf{(E)}\\ 250$\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>The internal angles of quadrilateral  <span class=\"katex--inline\">ABCD</span>  form an arithmetic progression. Triangles  <span class=\"katex--inline\">ABD</span>  and  <span class=\"katex--inline\">DCB</span>  are similar with  <span class=\"katex--inline\">\\angle DBA = \\angle DCB</span>  and  <span class=\"katex--inline\">\\angle ADB = \\angle CBD</span> . Moreover, the angles in each of these two triangles also form an arithmetic progression. In degrees, what is the largest possible sum of the two largest angles of  <span class=\"katex--inline\">ABCD</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 210 \\qquad \\textbf{(B)}\\ 220 \\qquad \\textbf{(C)}\\ 230 \\qquad \\textbf{(D)}\\ 240 \\qquad \\textbf{(E)}\\ 250</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": 3, "problem_name": "2013 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12B_p14", "prev": "/problem/13_amc12B_p12"}}