{"status": "success", "data": {"description_md": "In the diagram, $PW$ is parallel to $QX$, $S$ and $T$ lie on $QX$, and $U$ and $V$ are the points of intersection of $PW$ with $SR$ and $TR$, respectively. If $\\angle SUV = 120\u00b0$ and $\\angle VTX = 112\u00b0$, what is the measure of $\\angle URV$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2010/crops/10_pascal_p17_fig.png\" alt=\"figure\" width=\"368\"></center>\n\n$\\text{(A)}\\ 52\u00b0\\qquad\\text{(B)}\\ 56\u00b0\\qquad\\text{(C)}\\ 60\u00b0\\qquad\\text{(D)}\\ 64\u00b0\\qquad\\text{(E)}\\ 68\u00b0$\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\">PW</span> is parallel to <span class=\"katex--inline\">QX</span>, <span class=\"katex--inline\">S</span> and <span class=\"katex--inline\">T</span> lie on <span class=\"katex--inline\">QX</span>, and <span class=\"katex--inline\">U</span> and <span class=\"katex--inline\">V</span> are the points of intersection of <span class=\"katex--inline\">PW</span> with <span class=\"katex--inline\">SR</span> and <span class=\"katex--inline\">TR</span>, respectively. If <span class=\"katex--inline\">\\angle SUV = 120\u00b0</span> and <span class=\"katex--inline\">\\angle VTX = 112\u00b0</span>, what is the measure of <span class=\"katex--inline\">\\angle URV</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2010/crops/10_pascal_p17_fig.png\" alt=\"figure\" width=\"368\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 52\u00b0\\qquad\\text{(B)}\\ 56\u00b0\\qquad\\text{(C)}\\ 60\u00b0\\qquad\\text{(D)}\\ 64\u00b0\\qquad\\text{(E)}\\ 68\u00b0</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": 2, "problem_name": "2010 Pascal Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/10_pascal_p18", "prev": "/problem/10_pascal_p16"}}