Answer
$160.172137^{\circ}$
Work Step by Step
Ensuring that the calculator is in degree mode, we enter $\cot^{-1} (-2.7733744)$ as $\tan^{-1} (\frac{1}{-2.7733744})$ into the calculator and solve:
$\tan^{-1} (\frac{1}{-2.7733744})\approx-19.827863^{\circ}$
Adding the solution to $180^{\circ}$:
$180^{\circ}+(-19.827863)^{\circ}=160.172137^{\circ}$
