Winkelbezeichnungen TikZ

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\documentclass[headheight=19pt]{scrartcl}
%------------------------------------------------------------------------------
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[ngerman]{babel}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{quotes,babel,angles}
%------------------------------------------------------------------------------
\tikzset{
  winkel/.style={draw=gray,angle eccentricity=.6,angle radius=0.6cm},
  mybox/.style={draw=gray,fill=white,align=left,text width=.9\linewidth}
}
%------------------------------------------------------------------------------
\usepackage{blindtext}% für Fülltext
\begin{document}
    \begin{tikzpicture}[auto]
      \draw
        (4,0) coordinate[label=right:B] (B)
        -- node{$c$} 
        (0,0) coordinate[label=left:A] (A)
        -- node{$b$} 
        (1,2) coordinate[label=above right:C] (C)
        -- node{$a$} 
        cycle
        pic[pic text=$\alpha$, winkel]{angle=B--A--C}% Winkel bei Node A
        %pic[pic text=$\cdot$, winkel]{angle=C--B--A}% Winkel bei Node B
        pic[pic text=$\cdot$, winkel]{angle=A--C--B}% Winkel bei Node C
      ;
    \end{tikzpicture}
\end{document}
 
 
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