{"status": "success", "data": {"description_md": "Rectangle $ABCD$ has $AB=6$ and $BC=3$. Point $M$ is chosen on side $AB$ so that $\\angle AMD=\\angle CMD$. What is the degree measure of $\\angle AMD$?\n\n$\\textbf{(A)}\\ 15 \\qquad \\textbf{(B)}\\ 30 \\qquad \\textbf{(C)}\\ 45 \\qquad \\textbf{(D)}\\ 60 \\qquad \\textbf{(E)}\\ 75$\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>Rectangle  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=6</span>  and  <span class=\"katex--inline\">BC=3</span> . Point  <span class=\"katex--inline\">M</span>  is chosen on side  <span class=\"katex--inline\">AB</span>  so that  <span class=\"katex--inline\">\\angle AMD=\\angle CMD</span> . What is the degree measure of  <span class=\"katex--inline\">\\angle AMD</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 15 \\qquad \\textbf{(B)}\\ 30 \\qquad \\textbf{(C)}\\ 45 \\qquad \\textbf{(D)}\\ 60 \\qquad \\textbf{(E)}\\ 75</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": "2011 AMC 12B Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p11", "prev": "/problem/11_amc12B_p09"}}