#### Answer

$120^{\circ}$ and $300^{\circ}$

#### Work Step by Step

1. Since $tan$ $\theta$ is negative, $\theta$ must be in quadrant II or IV.
2.. The absolute value of $\tan\theta$ is $\sqrt 3$, so the reference angle is $60^{\circ}$, so the other angles must be:
$180^{\circ} - 60^{\circ} = 120^{\circ}$
$360^{\circ} - 60^{\circ} = 300 ^{\circ}$