{"status": "success", "data": {"description_md": "In the diagram, $PQR$ is a straight line segment and $QS = QT$. Also, $\\angle PQS = x\u00b0$ and $\\angle TQR = 3x\u00b0$. If $\\angle QTS = 76\u00b0$, the value of $x$ is\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2013/crops/13_pascal_p14_fig.png\" alt=\"figure\" width=\"193\"></center>\n\n$\\text{(A)}\\ 28\\qquad\\text{(B)}\\ 38\\qquad\\text{(C)}\\ 26\\qquad\\text{(D)}\\ 152\\qquad\\text{(E)}\\ 45$\n\n___\n\n**[Pascal](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\">PQR</span> is a straight line segment and <span class=\"katex--inline\">QS = QT</span>. Also, <span class=\"katex--inline\">\\angle PQS = x\u00b0</span> and <span class=\"katex--inline\">\\angle TQR = 3x\u00b0</span>. If <span class=\"katex--inline\">\\angle QTS = 76\u00b0</span>, the value of <span class=\"katex--inline\">x</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2013/crops/13_pascal_p14_fig.png\" alt=\"figure\" width=\"193\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 28\\qquad\\text{(B)}\\ 38\\qquad\\text{(C)}\\ 26\\qquad\\text{(D)}\\ 152\\qquad\\text{(E)}\\ 45</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</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": "2013 Pascal Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/13_pascal_p15", "prev": "/problem/13_pascal_p13"}}