Answer
negative
Work Step by Step
1. With $90^{\circ}\lt \theta\lt 180^{\circ}$, then $270^{\circ}\lt \theta +180^{\circ} \lt 360^{\circ}$
2. This means that $\theta +180^{\circ}$ is in QIV, where $x\gt0$ and $y\lt0$
3. Therefore $\tan( \theta+180)^{\circ}\lt 0$
