## Algebra 2 Common Core

$315^\circ$
Angles coterminal to angle $\theta$ are given by $\theta \pm n\times360^\circ$ where n is an integer. Therefore, an angle coterminal with $-405^\circ$ that is between $0^\circ$ and $360^\circ$ is $$-405^\circ + (2)360^\circ =-405^\circ + 720^\circ = 315^\circ$$