What angles are co-terminal with 45^@?

${\left(45 + 360 n\right)}^{\circ}$, where $n$ is any integer, is co-terminal with ${45}^{\circ}$; for example, $45 + 360 \left(2\right) = {765}^{\circ}$ and $45 + 360 \left(- 1\right) = - {315}^{\circ}$ are co-terminal with ${45}^{\circ}$.