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\input{preamble-standalone.ltx}
\begin{document}
% Ex. No. 157 (Section 22.1.3 : Multiples angles)
\begin{tikzpicture}[scale=0.75]
\tkzDefPoint(0,0){B}
\tkzDefPoint(8,0){C}
\tkzDefPoint(0,8){A}
\tkzDefPoint(8,8){D}
\tkzDrawPolygon(B,C,D,A)
\tkzDefTriangle[equilateral](B,C)
\tkzGetPoint{M}
\tkzInterLL(D,M)(A,B) \tkzGetPoint{N}
\tkzDefPointBy[rotation=center N angle -60](D)
\tkzGetPoint{L}
\tkzInterLL(N,L)(M,B) \tkzGetPoint{P}
\tkzInterLL(M,C)(D,L) \tkzGetPoint{Q}
\tkzDrawSegments(D,N N,L L,D B,M M,C)
\tkzDrawPoints(L,N,P,Q,M,A,D)
\tkzLabelPoints[left](N,P,Q)
\tkzLabelPoints[above](M,A,D)
\tkzLabelPoints(L,B,C)
\tkzMarkAngles(C,B,M B,M,C M,C,B%
D,L,N L,N,D N,D,L)
\tkzFillAngles[fill=red!20,opacity=.2](C,B,M%
B,M,C M,C,B D,L,N L,N,D N,D,L)
\end{tikzpicture}
\end{document}
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