{"status": "success", "data": {"description_md": "In the diagram, $\\triangle QUR$ and $\\triangle SUR$ are equilateral triangles. Also, $\\triangle QUP$, $\\triangle PUT$ and $\\triangle TUS$ are isosceles triangles with $PU = QU = SU = TU$ and $QP = PT = TS$. The measure of $\\angle UST$, in degrees, is\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2012/crops/12_fermat_p12_fig.png\" alt=\"figure\" width=\"249\"></center>\n\n$\\text{(A)}\\ 50\\qquad\\text{(B)}\\ 54\\qquad\\text{(C)}\\ 60\\qquad\\text{(D)}\\ 70\\qquad\\text{(E)}\\ 80$\n\n___\n\n**[Fermat](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, <span class=\"katex--inline\">\\triangle QUR</span> and <span class=\"katex--inline\">\\triangle SUR</span> are equilateral triangles. Also, <span class=\"katex--inline\">\\triangle QUP</span>, <span class=\"katex--inline\">\\triangle PUT</span> and <span class=\"katex--inline\">\\triangle TUS</span> are isosceles triangles with <span class=\"katex--inline\">PU = QU = SU = TU</span> and <span class=\"katex--inline\">QP = PT = TS</span>. The measure of <span class=\"katex--inline\">\\angle UST</span>, in degrees, is</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2012/crops/12_fermat_p12_fig.png\" alt=\"figure\" width=\"249\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 50\\qquad\\text{(B)}\\ 54\\qquad\\text{(C)}\\ 60\\qquad\\text{(D)}\\ 70\\qquad\\text{(E)}\\ 80</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2012 Fermat Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/12_fermat_p13", "prev": "/problem/12_fermat_p11"}}