{"status": "success", "data": {"description_md": "In the diagram, $PR$, $PS$, $QS$, $QT$, and $RT$ are straight line segments. $QT$ intersects $PR$ and $PS$ at $U$ and $V$, respectively. If $PU = PV$, $\\angle UPV = 24\u00b0$, $\\angle PSQ = x\u00b0$, and $\\angle TQS = y\u00b0$, what is the value of $x + y$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p20_fig.png\" alt=\"figure\" width=\"309\"></center>\n\n$\\text{(A)}\\ 48\\qquad\\text{(B)}\\ 66\\qquad\\text{(C)}\\ 72\\qquad\\text{(D)}\\ 78\\qquad\\text{(E)}\\ 156$\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\">PR</span>, <span class=\"katex--inline\">PS</span>, <span class=\"katex--inline\">QS</span>, <span class=\"katex--inline\">QT</span>, and <span class=\"katex--inline\">RT</span> are straight line segments. <span class=\"katex--inline\">QT</span> intersects <span class=\"katex--inline\">PR</span> and <span class=\"katex--inline\">PS</span> at <span class=\"katex--inline\">U</span> and <span class=\"katex--inline\">V</span>, respectively. If <span class=\"katex--inline\">PU = PV</span>, <span class=\"katex--inline\">\\angle UPV = 24\u00b0</span>, <span class=\"katex--inline\">\\angle PSQ = x\u00b0</span>, and <span class=\"katex--inline\">\\angle TQS = y\u00b0</span>, what is the value of <span class=\"katex--inline\">x + y</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p20_fig.png\" alt=\"figure\" width=\"309\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 48\\qquad\\text{(B)}\\ 66\\qquad\\text{(C)}\\ 72\\qquad\\text{(D)}\\ 78\\qquad\\text{(E)}\\ 156</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": "2011 Pascal Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/11_pascal_p21", "prev": "/problem/11_pascal_p19"}}