{"status": "success", "data": {"description_md": "In quadrilateral $ABCD$, $\\angle{BAD}\\cong\\angle{ADC}$ and $\\angle{ABD}\\cong\\angle{BCD}$, $AB=8$, $BD=10$, and $BC=6$. The length $CD$ may be written in the form $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m+n$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>In quadrilateral <span class=\"katex--inline\">ABCD</span>, <span class=\"katex--inline\">\\angle{BAD}\\cong\\angle{ADC}</span> and <span class=\"katex--inline\">\\angle{ABD}\\cong\\angle{BCD}</span>, <span class=\"katex--inline\">AB=8</span>, <span class=\"katex--inline\">BD=10</span>, and <span class=\"katex--inline\">BC=6</span>. The length <span class=\"katex--inline\">CD</span> may be written in the form <span class=\"katex--inline\">\\frac{m}{n}</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers. Find <span class=\"katex--inline\">m+n</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 6, "problem_name": "2001 AIME II Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/01_aime_II_p14", "prev": "/problem/01_aime_II_p12"}}