Answer
$ 225^{\circ}$
Work Step by Step
Given angle = $ -135^{\circ}$
In figure 24, we can see that terminal position corresponding to $ -135^{\circ}$ from positive side is $ 225^{\circ}$.
Therefore angle coterminal with $ -135^{\circ}$ between $0^{\circ}$ and $360^{\circ}$ = $ 225^{\circ}$
Cross checking-
Angle coterminal with $ -135^{\circ}$ between $0^{\circ}$ and $360^{\circ}$
= $ -135^{\circ} + 360$
= $ 225^{\circ}$
