Question

I will offer 15 marks

Answer 1

Arg z1 bar= $\frac{\pi}{5}$
then Arg z1= $\frac{ - \pi}{5}$
we know that in complex conjugate the value of magnitude does not change,but argument changes its sign
so Arg z1+Arg z2=
$\frac{ - \pi}{5} + \frac{\pi}{3} \\ = \frac{ - 3\pi + 5\pi}{15} \\ = \frac{2\pi}{15}$