Two Four Thirteen

Geometry Level 3

Let 0A,B,C90 0\leq A ,B,C\leq90^\circ such that tan(A)=2 \tan (A) = 2 , tan(B)=4\tan( B) = 4 , tan(C)=13 \tan (C) = 13 . Find the value of A+B+C A + B +C .

Clarification: Angles are measured in degrees.

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