Answer
$ 300^{\circ}$
Work Step by Step
Given angle = $ -60^{\circ}$
In figure 24, we can see that terminal position corresponding to $ -60^{\circ}$ from positive side is $ 300^{\circ}$
Therefore angle coterminal with $ -60^{\circ}$ between $0^{\circ}$ and $360^{\circ}$ = $ 300^{\circ}$
Cross checking-
Angle coterminal with $ -60^{\circ}$ between $0^{\circ}$ and $360^{\circ}$
= $ -60^{\circ} + 360$
= $ 300^{\circ}$