tikzedit

\begin{tikzpicture}
    \pgfmathsetmacro{\AngleA}{15} % Angle of ray AB (relative to x-axis)
    \pgfmathsetmacro{\AngleC}{75} % Angle of ray AC
    \pgfmathsetmacro{\RayLength}{4} % Length of the rays
    \pgfmathsetmacro{\ArcRadius}{0.8} % Radius for the angle marks

\pgfmathsetmacro{\AngleD}{(\AngleA + \AngleC) / 2}

\coordinate (A) at (0, 0); % Vertex
    \coordinate (B) at (\AngleA:\RayLength); % Point on Ray 1 (AB)
    \coordinate (C) at (\AngleC:\RayLength); % Point on Ray 2 (AC)
    \coordinate (D) at (\AngleD:\RayLength); % Point on Bisector (AD)

\draw[thick, ->] (A) -- (B) node[anchor={\AngleA-90}] {$B$};
    \draw[thick, ->] (A) -- (C) node[anchor={\AngleC+90}] {$C$};

\draw[dashed, blue, ->] (A) -- (D) node[above right] {$D$};
    \draw[red] (A) + (\AngleA:\ArcRadius) arc (\AngleA:\AngleD:\ArcRadius);
    \draw[red] (A) + (\AngleD:\ArcRadius) arc (\AngleD:\AngleC:\ArcRadius);

\pgfmathsetmacro{\LabelAngleBD}{(\AngleA + \AngleD) / 2}
    \pgfmathsetmacro{\LabelAngleDC}{(\AngleD + \AngleC) / 2}

\node[red] at (\LabelAngleBD:1.1*\ArcRadius) {$\alpha$};
    \node[red] at (\LabelAngleDC:1.1*\ArcRadius) {$\alpha$};

\fill (A) circle (2pt) node[below left] {$A$};
\end{tikzpicture}