# 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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