MathDB

1

Part of 1996 Baltic Way

Problems(1)

α/β is a rational number in regular 1996-gon

Source: Baltic Way 1996 Q1

3/19/2011
Let α\alpha be the angle between two lines containing the diagonals of a regular 19961996-gon, and let β≠0\beta\not= 0 be another such angle. Prove that αβ\frac{\alpha}{\beta} is a rational number.
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