If $\arg(z) < 0$,then $\arg(-z) - \arg(z)$ is equal to

Let $z_1$ and $z_2$ be two complex numbers with $\alpha$ and $\beta$ as their principal arguments such that $\alpha + \beta > \pi$,then the principal argument of $z_1 z_2$ is given by:

If $-\pi < \arg (z) < -\frac{\pi}{2}$, then $\arg (\bar{z}) - \arg (-\bar{z})$ is

If ${z_1}$ and ${z_2}$ are two non-zero complex numbers such that $|{z_1} + {z_2}| = |{z_1}| + |{z_2}|,$ then $\text{arg}({z_1}) - \text{arg}({z_2})$ is equal to

Let $z$ and $w$ be two complex numbers such that $\bar{z}+i \bar{w}=0$ and $\operatorname{Arg}(z w)=\pi$. Then,$\operatorname{Arg} z=$

If $z = \frac{-2}{1 + \sqrt{3}i}$,then the value of $arg(z)$ is