\input{preamble-standalone.ltx} \begin{document} % Ex. No. 237 (Section 30.2.7 : Example 3: John Kitzmiller ) \begin{tikzpicture}[scale=2] \tkzDefPoints{0/0/B, 5/0/D} \tkzDefPoint(70:3){A} \tkzDrawPolygon(B,D,A) \tkzDefLine[bisector](B,A,D) \tkzGetPoint{a} \tkzInterLL(A,a)(B,D) \tkzGetPoint{C} \tkzDefLine[parallel=through B](A,C) \tkzGetPoint{b} \tkzInterLL(A,D)(B,b) \tkzGetPoint{P} \begin{scope}[decoration={markings, mark=at position .5 with {\arrow[scale=2]{>}}}] \tkzDrawSegments[postaction={decorate},dashed](C,A P,B) \end{scope} \tkzDrawSegment(A,C) \tkzDrawSegment[style=dashed](A,P) \tkzLabelPoints[below](B,C,D) \tkzLabelPoints[above](A,P) \tkzDrawSegments[color=magenta, line width=3pt, opacity=0.4](B,C P,A) \tkzDrawSegments[color=teal, line width=3pt, opacity=0.4](C,D A,D) \tkzDrawSegments[color=magenta, line width=3pt, opacity=0.4](A,B) \tkzMarkAngles[size=3mm](B,A,C C,A,D) \tkzMarkAngles[size=3mm](B,A,C A,B,P) \tkzMarkAngles[size=3mm](B,P,A C,A,D) \tkzMarkAngles[size=3mm](B,A,C A,B,P B,P,A C,A,D) \tkzFillAngles[fill=green, opacity=0.5](B,A,C A,B,P) \tkzFillAngles[fill=yellow, opacity=0.3](B,P,A C,A,D) \tkzFillAngles[fill=green, opacity=0.6](B,A,C A,B,P B,P,A C,A,D) \tkzLabelAngle[pos=1](B,A,C){1} \tkzLabelAngle[pos=1](C,A,D){2} \tkzLabelAngle[pos=1](A,B,P){3} \tkzLabelAngle[pos=1](B,P,A){4} \tkzMarkSegments[mark=|](A,B A,P) \end{tikzpicture} \end{document}