Answer
$615^{\circ}$ and $-105^{\circ}$
Work Step by Step
In order to get the co-terminal angle we will have to add and subtract $360^{\circ}$ in the given angle.
We need to add $360^{\circ}$ in the given radian measurements.
Thus, we have
$255^{\circ}+360^{\circ}=615^{\circ}$
Now, subtract $360^{\circ}$ from the given radian measurements.
Thus, we have
$255^{\circ}-360^{\circ}=-105^{\circ}$