Answer
$\theta$$^{1}$ = 60$^{\circ}$
Work Step by Step
480$^{\circ}$
The reference angle is the smallest angle that can be made between the tangent side of an angle and the x-axis. The reference angle is represented by $\theta$$^{1}$.
Since the angle is less that 90$^{\circ}$ the smallest angle that can be made between it and the x-axis is itself.
Since the angle is so large we simply subtract 360$^{\circ}$ until we cannot do it again.
Therefore:
$\theta$$^{1}$ = 480$^{\circ}$ - 360$^{\circ}$
$\theta$$^{1}$ = 120$^{\circ}$
$\theta$$^{1}$ = 180$^{\circ}$ - 120$^{\circ}$
$\theta$$^{1}$ = 60$^{\circ}$
