Step 1 :Given the angle $-305^{\circ}$, we need to find an angle coterminal to it in the range $0^{\circ} \leq \theta<360^{\circ}$.
Step 2 :Since $-305^{\circ}$ is negative, we add $360^{\circ}$ to it.
Step 3 :This gives us $-305^{\circ} + 360^{\circ} = 55^{\circ}$
Step 4 :So, the angle $\theta$ coterminal to $-305^{\circ}$, where $0^{\circ} \leq \theta<360^{\circ}$ is \(\boxed{55^{\circ}}\).