If α is a root of x2 - 20x + 64 = 0 and α = \(e^{(1+|\cosθ|+|\cosθ|^2+\cdots\infty)\log_e4}\). The sum of values of θ ∈ (0, π) is

1
\(\frac{2π}{3}\)
2
\(\frac{3π}{2}\)
3
π 
4
\(\frac{π}{2}\)

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