{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"6e83c94d-0498-50fc-89b2-aa744114e1f6","task_key":"prealgebra--test--6e83c94d-0498-50fc-89b2-aa744114e1f6","task_revision_id":"1","upstream_id":"","short_description":"In the diagram below, lines $k$ and $\\ell$ are parallel. Find the measure of…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the diagram below, lines $k$ and $\\\\ell$ are parallel.  Find the measure of angle $x$ in degrees. [asy]\\nsize(200);\\npair A = dir(-22)*(0,0);\\npair B = dir(-22)*(4,0);\\npair C = dir(-22)*(4,2);\\npair D = dir(-22)*(0,2);\\npair F = dir(-22)*(0,1.3);\\npair G = dir(-22)*(4,1.3);\\n\\npair X,Y;\\n\\nX=A;\\nY=B;\\ndraw(1.3*X-.3*Y--1.3*Y-.3*X);\\n\\nX=A;\\nY=C;\\ndraw(1.3*X-.3*Y--1.3*Y-.3*X);\\n\\nX=C;\\nY=B;\\ndraw(1.3*X-.3*Y--1.3*Y-.3*X);\\n\\nX=B;\\nY=D;\\ndraw(1.3*X-.3*Y--1.3*Y-.3*X);\\n\\nX=G;\\nY=F;\\ndraw(1.3*X-.3*Y--1.3*Y-.3*X);\\n\\nlabel(\\\"$\\\\ell$\\\",1.4*A-.4*B);\\nlabel(\\\"$k$\\\",1.4*F-.4*G);\\n\\nlabel(\\\"$30^\\\\circ$\\\",A+(.8,-.1));\\nlabel(\\\"$90^\\\\circ$\\\",B+(.4,.1));\\nlabel(\\\"$x$\\\",C+(.32,.2));\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}