{"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":"7a521612-c575-5a29-aa60-88807a72c32d","task_key":"prealgebra--test--7a521612-c575-5a29-aa60-88807a72c32d","task_revision_id":"1","upstream_id":"","short_description":"In regular pentagon $FGHIJ$, extending the sides of the pentagon, as shown,…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In regular pentagon $FGHIJ$, extending the sides of the pentagon, as shown, forms a star. What is the measure of angle $A$ in the figure?\\n\\n[asy]\\ndraw((-42.4,30.8)--(-10,30.8)--(0,63.2)--(10,30.8)--(42.4,30.8)--(16.2,11.8)--(24.9,-18.1)--(0,0)--(-24.9,-18.1)--(-16.2,11.8)--cycle,linewidth(1));\\ndraw((-10,30.8)--(10,30.8)--(16.2,11.8)--(0,0)--(-16.2,11.8)--cycle,linewidth(1));\\nlabel(\\\"$A$\\\",(-42.4,30.8),W);\\nlabel(\\\"$F$\\\",(-10,30.8),NW);\\ndot((-10,30.8));\\nlabel(\\\"$G$\\\",(10,30.8),NE);\\ndot((10,30.8));\\nlabel(\\\"$H$\\\",(16.2,11.8),E);\\ndot((16.2,11.8));\\nlabel(\\\"$I$\\\",(0,0),S);\\ndot((0,0));\\nlabel(\\\"$J$\\\",(-16.2,11.8),WSW);\\ndot((-16.2,11.8));\\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":[]}