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Mathematically solution in Creative category for The Angles of a Triangle by Dragonfly555
from math import acos, degrees
def checkio(a, b, c):
try: return sorted([round(degrees(acos(i*(a**2+b**2+c**2 - 2*(i**2))/(2*a*b*c))))%180 for i in (a,b,c)])
except ValueError: return [0,0,0]
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
assert checkio(4, 4, 4) == [60, 60, 60], "All sides are equal"
assert checkio(3, 4, 5) == [37, 53, 90], "Egyptian triangle"
assert checkio(2, 2, 5) == [0, 0, 0], "It can not be a triangle"
Aug. 29, 2015