LaTeX-examples/tikz/triangle-exteriour-angle-theorem-2/triangle-exteriour-angle-theorem-2.tex

\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usetikzlibrary{shapes, calc, decorations}
\usepackage{amsmath,amssymb}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}

\begin{document}
\begin{preview}
\begin{tikzpicture}[very thick,font=\sansmath\sffamily]
    \tkzDefPoint(-1,-1){A}
    \tkzDefPoint(3.2,0){B}
    \tkzDefPoint(0.7,3){C}

    \tkzDefBarycentricPoint(A=-5,C=1)
    \tkzGetPoint{D}

    \tkzDefBarycentricPoint(C=1,B=-5)
    \tkzGetPoint{E}

    \tkzDefBarycentricPoint(A=1,C=-5)
    \tkzGetPoint{F}

    \tkzLabelPoints[above left,font=\sansmath\sffamily](A)
    \tkzLabelPoints[above right,font=\sansmath\sffamily](B)
    \tkzLabelPoints[above=0.3,font=\sansmath\sffamily](C)
    % \tkzLabelPoints[below,font=\sansmath\sffamily](D)

    % Draw polygon
    \tkzDrawPolygon[fill=gray!10](A,B,C)

    % Mark angles
    \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](B,A,C)
    \tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}

    \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](C,B,A)
    \tkzLabelAngle[pos=-0.4](C,B,A){$\beta$}

    \tkzMarkAngle[arc=l,size=0.6cm,fill=green!30](A,C,B)
    \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}

    \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](D,A,B)
    \tkzLabelAngle[pos=0.4](B,A,D){$\alpha'$}

    \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](A,B,E)
    \tkzLabelAngle[pos=0.4](A,B,E){$\beta'$}

    \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](B,C,F)
    \tkzLabelAngle[pos=0.4](B,C,F){$\gamma'$}

    % \tkzMarkAngle[arc=l,size=0.6cm,fill=orange!30](D,C,A)
    % \tkzLabelAngle[pos=0.4](D,C,A){$\delta$}

    \tkzDrawLines(A,B B,C C,A)

    % Label lines
    % \tkzLabelSegment[below](A,B){$c$}
    % \tkzLabelSegment[left](A,C){$b$}
    % \tkzLabelSegment[right](B,C){$a$}

    % Draw polygon
    % \tkzDrawPolygon[thick](A,B,C)

    % Make dots for points
    \tkzDrawPoints[size=1.0](A,B,C)
\end{tikzpicture}
\end{preview}
\end{document}