{"status": "success", "data": {"description_md": "In $\\triangle ABC$, $\\angle ABC = 65^\\circ$ and $\\angle ACB = 35^\\circ$. Let $O$ be its circumcenter and let $D$ be the base of the altitude from $A$. If $E$ is the intersection point of $AD$ and $OB$, find the measure of $\\angle OED$ in degrees.\n\n$\\textbf{(A)}~65^\\circ\\qquad\\textbf{(B)}~80^\\circ\\qquad\\textbf{(C)}~95^\\circ\\qquad\\textbf{(D)}~100^\\circ\\qquad\\textbf{(E)}~120^\\circ$", "description_html": "<p>In <span class=\"katex--inline\">\\triangle ABC</span>, <span class=\"katex--inline\">\\angle ABC = 65^\\circ</span> and <span class=\"katex--inline\">\\angle ACB = 35^\\circ</span>. Let <span class=\"katex--inline\">O</span> be its circumcenter and let <span class=\"katex--inline\">D</span> be the base of the altitude from <span class=\"katex--inline\">A</span>. If <span class=\"katex--inline\">E</span> is the intersection point of <span class=\"katex--inline\">AD</span> and <span class=\"katex--inline\">OB</span>, find the measure of <span class=\"katex--inline\">\\angle OED</span> in degrees.</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~65^\\circ\\qquad\\textbf{(B)}~80^\\circ\\qquad\\textbf{(C)}~95^\\circ\\qquad\\textbf{(D)}~100^\\circ\\qquad\\textbf{(E)}~120^\\circ</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2024 Mock AMC 10 - Problem 16", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}