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\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}
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