{"status": "success", "data": {"description_md": "In the given circle, the diameter $\\overline{EB}$ is parallel to $\\overline{DC}$, and $\\overline{AB}$ is parallel to $\\overline{ED}$. The angles $AEB$ and $ABE$ are in the ratio $4 : 5$. What is the degree measure of angle $BCD$?\n$$\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/b/a/d/bad25a60446625a8eac18a0209ed3ab5d7c02eff.png\" width=\"238\"/>\n</center>$$\n\n$\\textbf{(A)}\\ 120 \\qquad\\textbf{(B)}\\ 125 \\qquad\\textbf{(C)}\\ 130 \\qquad\\textbf{(D)}\\ 135 \\qquad\\textbf{(E)}\\ 140$", "description_html": "<p>In the given circle, the diameter  <span class=\"katex--inline\">\\overline{EB}</span>  is parallel to  <span class=\"katex--inline\">\\overline{DC}</span> , and  <span class=\"katex--inline\">\\overline{AB}</span>  is parallel to  <span class=\"katex--inline\">\\overline{ED}</span> . The angles  <span class=\"katex--inline\">AEB</span>  and  <span class=\"katex--inline\">ABE</span>  are in the ratio  <span class=\"katex--inline\">4 : 5</span> . What is the degree measure of angle  <span class=\"katex--inline\">BCD</span> ?<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"235\" src=\"https://latex.artofproblemsolving.com/b/a/d/bad25a60446625a8eac18a0209ed3ab5d7c02eff.png\" width=\"238\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 120 \\qquad\\textbf{(B)}\\ 125 \\qquad\\textbf{(C)}\\ 130 \\qquad\\textbf{(D)}\\ 135 \\qquad\\textbf{(E)}\\ 140</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 17", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10B_p18", "prev": "/problem/11_amc10B_p16"}}