{"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$\\textbf{(A)}\\ 15 \\qquad\\textbf{(B)}\\ 30 \\qquad\\textbf{(C)}\\ 45 \\qquad\\textbf{(D)}\\ 60 \\qquad\\textbf{(E)}\\ 75$", "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>\n<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>\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": 3, "problem_name": "2011 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10B_p19", "prev": "/problem/11_amc10B_p17"}}