{"status": "success", "data": {"description_md": "In acute $\\triangle ABC$, let $O$ be its circumcenter. Let $\\angle ABC = 30^\\circ$ and let $D$ be a point on $AB$ such that $\\angle DCO = \\angle OCB = 20^\\circ$. Find the measure of $\\angle ODC$ in degrees.", "description_html": "<p>In acute <span class=\"katex--inline\">\\triangle ABC</span>, let <span class=\"katex--inline\">O</span> be its circumcenter. Let <span class=\"katex--inline\">\\angle ABC = 30^\\circ</span> and let <span class=\"katex--inline\">D</span> be a point on <span class=\"katex--inline\">AB</span> such that <span class=\"katex--inline\">\\angle DCO = \\angle OCB = 20^\\circ</span>. Find the measure of <span class=\"katex--inline\">\\angle ODC</span> in degrees.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 1 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}