Angle sum — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Angle sum — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 8
1994 AMC 8 Problem 7 • 1995 AMC 8 Problem 13 • 1997 AMC 8 Problem 12 • 2005 AMC 8 Problem 9 • 2009 AMC 8 Problem 19 • 2017 AMC 8 Problem 6
AMC 10
2006 AMC 10A Problem 19 • 2007 AMC 10B Problem 7 • 2007 AMC 10B Problem 15 • 2009 AMC 10B Problem 9 • 2009 AMC 10B Problem 24 • 2011 AMC 10B Problem 7 • 2020 AMC 10B Problem 4 • 2025 AMC 10A Problem 6
AMC 12
1950 AMC 12 Problem 12 • 1952 AMC 12 Problem 21 • 1954 AMC 12 Problem 13 • 1954 AMC 12 Problem 31 • 1954 AMC 12 Problem 37 • 1958 AMC 12 Problem 15 • 1958 AMC 12 Problem 29 • 1960 AMC 12 Problem 27 • 1961 AMC 12 Problem 8 • 1961 AMC 12 Problem 25 • 1961 AMC 12 Problem 27 • 1962 AMC 12 Problem 7 • 1962 AMC 12 Problem 20 • 1962 AMC 12 Problem 31 • 1966 AMC 12 Problem 21 • 1968 AMC 12 Problem 6 • 1968 AMC 12 Problem 20 • 1969 AMC 12 Problem 8 • 1972 AMC 12 Problem 21 • 1973 AMC 12 Problem 16 • 1976 AMC 12 Problem 14 • 1978 AMC 12 Problem 12 • 1980 AMC 12 Problem 4 • 1982 AMC 12 Problem 6 • 1983 AMC 12 Problem 5 • 1984 AMC 12 Problem 15 • 1985 AMC 12 Problem 14 • 1986 AMC 12 Problem 3 • 1988 AMC 12 Problem 6 • 1990 AMC 12 Problem 3 • 1999 AMC 12 Problem 7 • 2002 AMC 12A Problem 4 • 2002 AMC 12B Problem 5 • 2007 AMC 12B Problem 3 • 2007 AMC 12B Problem 7 • 2007 AMC 12B Problem 11 • 2008 AMC 12B Problem 4 • 2017 AMC 12A Problem 11 • 2020 AMC 12B Problem 4