\psset{PointSymbol=none}
\pstGeonode[PosAngle={180,130,-90}, 
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\pstLineAB[nodesepB=-1,linecolor=red]{O}{A}
\pstLineAB[nodesepB=-1,linecolor=red]{O}{B}
\pstInterLC[PointSymbolA=none, 
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\psset{arcsepA=-1, arcsepB=-1}
\pstArcOAB[linecolor=green, linestyle=dashed]{O}{C}{A}
\pstInterCC[PointSymbolB=none,PointNameB=none, 
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\pstArcOAB[linecolor=blue,linestyle=dashed]{A}{O'}{O'}
\pstArcOAB[linecolor=blue,linestyle=dashed]{C}{O'}{O'}
\pstLineAB[nodesepB=-1, linecolor=cyan]{O}{O'}
\psset{arcsep=\pslinewidth,
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\pstMarkAngle{C}{O}{O'}{}
\pstMarkAngle[MarkAngleRadius=.5]{O'}{O}{A}{} 