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+\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}