\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 152 (Section 21.3.5 : Angle trisection)

\begin{tikzpicture}
  \tikzset{arc/.style={color=gray,style=dashed}}
 \tkzDefPoints{0/0/a,0/5/I,5/0/J}
 \tkzDrawArc[angles](O,I)(0,90)
 \tkzDrawArc[angles,/tikz/arc](I,O)(90,180)
 \tkzDrawArc[angles,/tikz/arc](J,O)(-90,0)
 \tkzInterCC(O,I)(I,O)\tkzGetPoints{B}{C}
 \tkzInterCC(O,I)(J,O)\tkzGetPoints{D}{A}
 \tkzInterCC(I,O)(J,O)\tkzGetPoints{L}{K}
 \tkzDrawPoints(A,B,K)
 \foreach \point in {I,A,B,J,K}{%
               \tkzDrawSegment(O,\point)}
\end{tikzpicture}

\end{document}
