{"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":"232ca5db-5837-5db2-b274-d37e0f371287","task_key":"geometry--test--232ca5db-5837-5db2-b274-d37e0f371287","task_revision_id":"1","upstream_id":"","short_description":"In the figure, $BA = AD = DC$ and point $D$ is on segment $BC$. The measure of…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In the figure, $BA = AD = DC$ and point $D$ is on segment $BC$. The measure of angle $ACD$ is 22.5 degrees. What is the measure of angle $ABC$? [asy]\\nimport olympiad; import geometry; size(150); defaultpen(linewidth(0.8));\\ndraw((0,0)--(6+3*sqrt(2),0)--(3,3)--cycle);\\ndraw((3,3)--(6,0));\\nlabel(\\\"$B$\\\",(0,0),W); label(\\\"$A$\\\",(3,3),N); label(\\\"$C$\\\",(6+3*sqrt(2),0),E); label(\\\"$D$\\\",(6,0),S);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}