Always the complementary ones!

Geometry Level 4

In a right \(\Delta ABC\), acute angles \(A\) and \(B\) satisfy

\[\tan { A+\tan { B+\tan ^{ 2 }{ A+\tan ^{ 2 }{ B+\tan ^{ 3 }{ A+\tan ^{ 3 }{ B=70 } } } } } } \]

Then find angles \(A\) and \( B\) in radians.

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