I want to modify command \Angle which the mark angles auto rotation (see the appropriate).

    {\draw pic[draw,angle radius=#2,"{\scriptsize #3}",angle eccentricity=1] {angle = #1}}
    \coordinate (A) at (0,0);
    \coordinate (B) at (5,0);
    \coordinate (C) at (45:5);
    \draw (B) -- (A) -- (C) -- cycle;

Not a direct answer but for certain things, one should use better tools. Here, it is tkz-euclide









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