{"status": "success", "data": {"description_md": "In the diagram, $PQ$ is parallel to $RS$. Also, $Z$ is on $PQ$ and $X$ is on $RS$. If $Y$ is located between $PQ$ and $RS$ so that $\\angle YXS = 20\u00b0$ and $\\angle ZYX = 50\u00b0$, what is the measure of $\\angle QZY$?\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2013/crops/13_cayley_p19_fig.png\" alt=\"figure\" width=\"311\"></center>\n\n$\\text{(A)}\\ 30\u00b0\\qquad\\text{(B)}\\ 20\u00b0\\qquad\\text{(C)}\\ 40\u00b0\\qquad\\text{(D)}\\ 50\u00b0\\qquad\\text{(E)}\\ 60\u00b0$\n\n___\n\n**[Cayley](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\">PQ</span> is parallel to <span class=\"katex--inline\">RS</span>. Also, <span class=\"katex--inline\">Z</span> is on <span class=\"katex--inline\">PQ</span> and <span class=\"katex--inline\">X</span> is on <span class=\"katex--inline\">RS</span>. If <span class=\"katex--inline\">Y</span> is located between <span class=\"katex--inline\">PQ</span> and <span class=\"katex--inline\">RS</span> so that <span class=\"katex--inline\">\\angle YXS = 20\u00b0</span> and <span class=\"katex--inline\">\\angle ZYX = 50\u00b0</span>, what is the measure of <span class=\"katex--inline\">\\angle QZY</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2013/crops/13_cayley_p19_fig.png\" alt=\"figure\" width=\"311\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 30\u00b0\\qquad\\text{(B)}\\ 20\u00b0\\qquad\\text{(C)}\\ 40\u00b0\\qquad\\text{(D)}\\ 50\u00b0\\qquad\\text{(E)}\\ 60\u00b0</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</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": "2013 Cayley Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/13_cayley_p20", "prev": "/problem/13_cayley_p18"}}