{"status": "success", "data": {"description_md": "In the diagram, point $E$ lies on line segment $AB$, and triangles $AED$ and $BEC$ are isosceles. Also, $\\angle DEC$ is twice $\\angle ADE$. What is the size of $\\angle EBC$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2006/crops/06_pascal_p17_fig.png\" alt=\"figure\" width=\"341\"></center>\n\n$\\text{(A)}\\ 75\u00b0\\qquad\\text{(B)}\\ 80\u00b0\\qquad\\text{(C)}\\ 60\u00b0\\qquad\\text{(D)}\\ 55\u00b0\\qquad\\text{(E)}\\ 45\u00b0$\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, point <span class=\"katex--inline\">E</span> lies on line segment <span class=\"katex--inline\">AB</span>, and triangles <span class=\"katex--inline\">AED</span> and <span class=\"katex--inline\">BEC</span> are isosceles. Also, <span class=\"katex--inline\">\\angle DEC</span> is twice <span class=\"katex--inline\">\\angle ADE</span>. What is the size of <span class=\"katex--inline\">\\angle EBC</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2006/crops/06_pascal_p17_fig.png\" alt=\"figure\" width=\"341\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 75\u00b0\\qquad\\text{(B)}\\ 80\u00b0\\qquad\\text{(C)}\\ 60\u00b0\\qquad\\text{(D)}\\ 55\u00b0\\qquad\\text{(E)}\\ 45\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": "2006 Pascal Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/06_pascal_p18", "prev": "/problem/06_pascal_p16"}}