{"status": "success", "data": {"description_md": "In the diagram, $MNPQ$ is a rectangle with points $M$, $N$, $P$, and $Q$ on the sides of $\\triangle XYZ$, as shown. If $\\angle ZNM = 68^\\circ$ and $\\angle XYZ = 55^\\circ$, what is the measure of $\\angle YXZ$?\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2015/crops/15_fermat_p06_fig.png\" alt=\"figure\" width=\"376\"></center>\n\n$\\text{(A)}\\ 77^\\circ\\qquad\\text{(B)}\\ 113^\\circ\\qquad\\text{(C)}\\ 93^\\circ\\qquad\\text{(D)}\\ 97^\\circ\\qquad\\text{(E)}\\ 103^\\circ$\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\">MNPQ</span> is a rectangle with points <span class=\"katex--inline\">M</span>, <span class=\"katex--inline\">N</span>, <span class=\"katex--inline\">P</span>, and <span class=\"katex--inline\">Q</span> on the sides of <span class=\"katex--inline\">\\triangle XYZ</span>, as shown. If <span class=\"katex--inline\">\\angle ZNM = 68^\\circ</span> and <span class=\"katex--inline\">\\angle XYZ = 55^\\circ</span>, what is the measure of <span class=\"katex--inline\">\\angle YXZ</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2015/crops/15_fermat_p06_fig.png\" alt=\"figure\" width=\"376\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 77^\\circ\\qquad\\text{(B)}\\ 113^\\circ\\qquad\\text{(C)}\\ 93^\\circ\\qquad\\text{(D)}\\ 97^\\circ\\qquad\\text{(E)}\\ 103^\\circ</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": "2015 Fermat Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/15_fermat_p07", "prev": "/problem/15_fermat_p05"}}