{"status": "success", "data": {"description_md": "Quadrilateral $ABCD$ is inscribed in a circle with $\\angle BAC=70^{\\circ}, \\angle ADB=40^{\\circ}, AD=4,$ and $BC=6$. What is $AC$?\n\n$\\textbf{(A)}\\; 3+\\sqrt{5} \\qquad\\textbf{(B)}\\; 6 \\qquad\\textbf{(C)}\\; \\dfrac{9}{2}\\sqrt{2} \\qquad\\textbf{(D)}\\; 8-\\sqrt{2} \\qquad\\textbf{(E)}\\; 7$\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>Quadrilateral  <span class=\"katex--inline\">ABCD</span>  is inscribed in a circle with  <span class=\"katex--inline\">\\angle BAC=70^{\\circ}, \\angle ADB=40^{\\circ}, AD=4,</span>  and  <span class=\"katex--inline\">BC=6</span> . What is  <span class=\"katex--inline\">AC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\; 3+\\sqrt{5} \\qquad\\textbf{(B)}\\; 6 \\qquad\\textbf{(C)}\\; \\dfrac{9}{2}\\sqrt{2} \\qquad\\textbf{(D)}\\; 8-\\sqrt{2} \\qquad\\textbf{(E)}\\; 7</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": "2015 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12B_p14", "prev": "/problem/15_amc12B_p12"}}