Union of set of different methods

Algebra Level 5

If, \(x^{9}+x^{8}+x^{5}+7x^{2}-2x=7\)

Let \(\alpha ,\beta ,\gamma\) be the real roots of this equation,where \(\alpha < \beta < \gamma\)

Let there be a triangle with sides as \(|\alpha|,|\beta|,|\gamma|\)

Find the Least Common Multiple of all 3 interior angles when rounded off to the nearest degree.

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