{"status": "success", "data": {"description_md": "Let there be a triangle $ABC$ where $\\angle C = 54^{\\circ}, \\angle B = 70^{\\circ}.$ Let $D$ be a point on $BC$ such that $AD \\perp BC$. Draw the circumcircle of $\\triangle ABC$, and let $AE$ be the diameter of such circle. Determine the angle measure of $\\angle DAE$ in terms of degrees.", "description_html": "<p>Let there be a triangle <span class=\"katex--inline\">ABC</span> where <span class=\"katex--inline\">\\angle C = 54^{\\circ}, \\angle B = 70^{\\circ}.</span> Let <span class=\"katex--inline\">D</span> be a point on <span class=\"katex--inline\">BC</span> such that <span class=\"katex--inline\">AD \\perp BC</span>. Draw the circumcircle of <span class=\"katex--inline\">\\triangle ABC</span>, and let <span class=\"katex--inline\">AE</span> be the diameter of such circle. Determine the angle measure of <span class=\"katex--inline\">\\angle DAE</span> in terms of degrees.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Christmas Contest - Guts Round - Set 8 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}