{"status": "success", "data": {"description_md": "Two tangents to a circle are drawn from a point $A$.  The points of contact $B$ and $C$ divide the circle into arcs with lengths in the ratio $2 : 3$.  What is the degree measure of $\\angle{BAC}$?\n\n$\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 30 \\qquad \\textbf{(C)}\\ 36 \\qquad \\textbf{(D)}\\ 48 \\qquad \\textbf{(E)}\\ 60$\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>Two tangents to a circle are drawn from a point  <span class=\"katex--inline\">A</span> .  The points of contact  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">C</span>  divide the circle into arcs with lengths in the ratio  <span class=\"katex--inline\">2 : 3</span> .  What is the degree measure of  <span class=\"katex--inline\">\\angle{BAC}</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 24 \\qquad \\textbf{(B)}\\ 30 \\qquad \\textbf{(C)}\\ 36 \\qquad \\textbf{(D)}\\ 48 \\qquad \\textbf{(E)}\\ 60</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 6", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12B_p07", "prev": "/problem/11_amc12B_p05"}}