{"status": "success", "data": {"description_md": "The point $O$ is the center of the circle circumscribed about triangle $ABC$, with $\\angle BOC = 120^{\\circ}$ and $\\angle AOB = 140^{\\circ}$, as shown. What is the degree measure of $\\angle ABC$?\n\n<a href=\"https://imgbb.com/\"><img src=\"https://i.ibb.co/YQxFyJL/image-2024-07-29-212948600.png\" alt=\"image-2024-07-29-212948600\" border=\"0\"></a>\n\n$\\mathrm {(A)} 35\\qquad \\mathrm {(B)} 40\\qquad \\mathrm {(C)} 45\\qquad \\mathrm {(D)} 50\\qquad \\mathrm {(E)} 60$\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>The point <span class=\"katex--inline\">O</span> is the center of the circle circumscribed about triangle <span class=\"katex--inline\">ABC</span>, with <span class=\"katex--inline\">\\angle BOC = 120^{\\circ}</span> and <span class=\"katex--inline\">\\angle AOB = 140^{\\circ}</span>, as shown. What is the degree measure of <span class=\"katex--inline\">\\angle ABC</span>?</p>&#10;<p><a href=\"https://imgbb.com/\"><img src=\"https://i.ibb.co/YQxFyJL/image-2024-07-29-212948600.png\" alt=\"image-2024-07-29-212948600\" border=\"0\"/></a></p>&#10;<p><span class=\"katex--inline\">\\mathrm {(A)} 35\\qquad \\mathrm {(B)} 40\\qquad \\mathrm {(C)} 45\\qquad \\mathrm {(D)} 50\\qquad \\mathrm {(E)} 60</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2007 AMC 12B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12B_p04", "prev": "/problem/07_amc12B_p02"}}