{"status": "success", "data": {"description_md": "**POTD May 28, 2024**\n\nIn triangle $ABC$, $AB = 2$, $AC = 1 + \\sqrt 5$, and $\\angle CAB = 54^\\circ$. Suppose $D$ lies on the extension of $AC$ through $C$ such that $CD = \\sqrt 5 - 1$. If $M$ is the midpoint of $BD$, determine the measure of $\\angle ACM$, in degrees.", "description_html": "<p><strong>POTD May 28, 2024</strong></p>&#10;<p>In triangle <span class=\"katex--inline\">ABC</span>, <span class=\"katex--inline\">AB = 2</span>, <span class=\"katex--inline\">AC = 1 + \\sqrt 5</span>, and <span class=\"katex--inline\">\\angle CAB = 54^\\circ</span>. Suppose <span class=\"katex--inline\">D</span> lies on the extension of <span class=\"katex--inline\">AC</span> through <span class=\"katex--inline\">C</span> such that <span class=\"katex--inline\">CD = \\sqrt 5 - 1</span>. If <span class=\"katex--inline\">M</span> is the midpoint of <span class=\"katex--inline\">BD</span>, determine the measure of <span class=\"katex--inline\">\\angle ACM</span>, in degrees.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #170", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}