If tan α + tan β = 1 - tan α.tan β, where tan α tan β ≠ 1, then which of the following is one of the values of (α + β) ?

1
\(\frac{\pi}{6}\)
2
\(\frac{\pi}{4}\)
3
\(\frac{\pi}{3}\)
4
\(\frac{\pi}{2}\)

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