\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{mathrsfs}
\usetikzlibrary{arrows,calc}
\usepackage{tkz-euclide}
\pagestyle{empty}
\usepackage{fp}
\definecolor{AngleClr}{rgb}{0,0.39215686274509803,0}
\definecolor{ShapeClr}{rgb}{0.6,0.2,0}
\begin{document}
\begin{tikzpicture}[scale=.75]
\tkzSetUpLine[line width=1pt,color=black]
\tkzSetUpPoint[fill=black]
\tkzDefPoints{0/0/D,3.5/0/C,1/2/A,4.5/2/B}
\tkzInterLL(A,C)(B,D) \tkzGetPoint{O}
\tkzDefLine[bisector,normed](B,A,D) \tkzGetPoint{x}
\tkzDefLine[bisector,normed](B,C,D) \tkzGetPoint{y}
\tkzDefLine[bisector,normed](C,D,A) \tkzGetPoint{z}
\tkzDefLine[bisector,normed](A,B,C) \tkzGetPoint{w}
\tkzInterLL(A,x)(C,D) \tkzGetPoint{DA}
\tkzInterLL(B,w)(C,D) \tkzGetPoint{DB}
\tkzInterLL(C,y)(A,B) \tkzGetPoint{DC}
\tkzInterLL(D,z)(A,B) \tkzGetPoint{DD}
\tkzInterLL(A,DA)(B,DB) \tkzGetPoint{I1}
\tkzInterLL(B,DB)(C,DC) \tkzGetPoint{I2}
\tkzInterLL(C,DC)(D,DD) \tkzGetPoint{I3}
\tkzInterLL(D,DD)(A,DA) \tkzGetPoint{I4}
\tkzFillPolygon[fill=ShapeClr,fill opacity=0.1](A,B,C,D)
\tkzFillAngles[fill=AngleClr,size=.4,fill opacity=0.1](D,A,DA DA,A,B B,C,DC DC,C,D)
\tkzMarkAngles[line width=1pt,color=AngleClr,size=.4](D,A,DA DA,A,B B,C,DC DC,C,D)
\tkzMarkAngles[mark=s,mksize=2,line width=1pt,size=.4,color=AngleClr](D,A,DA DA,A,B B,C,DC DC,C,D)
\tkzFillAngles[fill=AngleClr,size=.4,fill opacity=0.1](A,B,DB DB,B,C DD,D,A C,D,DD)
\tkzMarkAngles[line width=1pt,color=AngleClr,size=.4](A,B,DB DB,B,C DD,D,A C,D,DD)
\tkzMarkAngles[mark=|,mksize=2,line width=1pt,size=.4,color=AngleClr](A,B,DB DB,B,C DD,D,A C,D,DD)
\tkzMarkRightAngles[line width=0.5pt, size=.15,color=AngleClr,fill=AngleClr,fill opacity=0.1](A,I1,B DC,I2,DB C,I3,D DA,I4,DD)
\tkzDrawSegments[line width=0.5pt,color=black](A,DA B,DB C,DC D,DD)
\tkzDrawPolygon[color=ShapeClr](A,B,C,D)
\tkzDrawPoints[size=3](A,B,C,D)
\tkzLabelPoint[above left](A){$\rm A$}
\tkzLabelPoint[above right](B){$\rm B$}
\tkzLabelPoint[below right](C){$\rm \Gamma$}
\tkzLabelPoint[below left](D){$\rm \Delta$}
\end{tikzpicture}
\end{document}