Answer
$252.65^{\circ}$
Work Step by Step
Let us consider $\tan \theta =3.2$ ; $180^{\circ} \lt \theta \lt 270^{\circ}$
Then, our result will be: $\theta \approx 72.65^{\circ}$
But, the angle $\theta$ does not belong to the interval $(180^{\circ} , 270^{\circ})$, so we will compute the reference angle that lies in the given interval. Then we have: $\theta = 72.65^{\circ}+180^{\circ}=252.65^{\circ}$
