Answer
120$^{\circ}$
240$^{\circ}$
Work Step by Step
1)Since cosθ is negative, θ must lie in
quadrants II or III. Since the absolute value of
cosθ is $\frac{1}{2}$ the reference angle, θ must be
60°
2)The quadrant II angle θ equals 180$^{\circ}$ - 60$^{\circ}$ = 120$^{\circ}$ and the quadrant III angle θ equals 180$^{\circ}$ + 60$^{\circ}$ = 240$^{\circ}$