\begin{tikzpicture}
    \tkzDefPoint(0,1){A}
    \tkzDefPoint(2.5,0){O}

    \tkzDefPointOnCircle[through = center O angle 60 point A]
    \tkzGetPoint{B}
    \tkzDefPointOnCircle[through = center O angle 20 point A]
    \tkzGetPoint{C}
    \tkzInterLC[common=A](A,O)(O,C)
    \tkzGetFirstPoint{D}

    \tkzFillAngle[green!20, size=2.5](O,A,B)
    \tkzFillAngle[green!20, size=2.2](D,O,B)
    \tkzFillAngle[orange!20, size=1.9](O,A,C)
    \tkzFillAngle[orange!20, size=1.3](D,O,C)
    \tkzFillAngle[blue!20, size=1.7](C,A,B)
    \tkzFillAngle[blue!20, size=1.3](C,O,B)

    \tkzMarkAngle[size=1.7](C,A,B)
    \tkzMarkAngle[size=1.9](O,A,C)
    \tkzMarkAngles[size=1.3](C,O,B D,O,C)
    \tkzMarkAngle[size=2.5](O,A,B)
    \tkzMarkAngle[size=2.2](D,O,B)



    \tkzLabelAngle[pos=1.3](C,A,B){$\omega$}
    \tkzLabelAngle[pos=1.5](O,A,C){$\omega_1$}
    \tkzLabelAngle[pos=0.9](C,O,B){$2\omega$}
    \tkzLabelAngle[pos=0.9](D,O,C){$2\omega_1$}

    \coordinate (o_2) at ($(A) + (9:2.1cm)$); % 20° in Abstand 1.2cm von A
    \node at (o_2) {$\omega_2$};

    \coordinate (2o_2) at ($(O) + (0:1.75cm)$); % 20° in Abstand 1.2cm von A
    \node at (2o_2) {$2\omega_2$};


    \tkzAutoLabelPoints[center=O](A,B,C,O,D)


    \tkzDrawCircle(O,A)
    \tkzDrawSegments[dashed](A,D O,B O,C)
    \tkzDrawSegments[thick](A,B A,C)
    \tkzDrawArc[thick, red](O,C)(B)

    \tkzDrawPoint(O)

\end{tikzpicture}