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Let n be the number of sides:
1/2*(n2-3n) = diagonals
1/2*(n2-3n) = 902
Multiply both sides by 2 and form a quadratic equation:
n2-3n-1804 = 0
Solving the above by means of the quadratic equation formula gives a positive value for n as 44
Therefore the polygon has 44 sides
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