The relation between electron's angular momentum $L$ and magnetic moment $\mu$ given,
$\mu=-\frac{e}{2 m_{e}} L$ where $e$ and $m_{e}$ are the charges and mass of the electron.
Here, negative sign shows that the angular momentum and magentic moment are in opposite direction to each other i.e., if $L$ in $+z$ -direction then $\mu$ in-z-direction
So, the angle between $L$ and $\mu$ is $180^{\circ}$.