Answer
$2.08,5.22$
Work Step by Step
Use a calculator, $5tan\theta+9=0 \Longrightarrow tan\theta=-\frac{9}{5} \Longrightarrow \theta=tan^{-1}(-\frac{9}{5})=\pi-tan^{-1}(\frac{9}{5})\approx2.08$
and $2\pi-tan^{-1}(\frac{9}{5})\approx5.22$ in $[0,2\pi)$.
