Answer
See below
Work Step by Step
Let us consider $\cos \theta = -0.82$ ; $180^{\circ} \lt \theta \lt 270^{\circ}$
and $\theta =\cos^{-1} (-0.82) \approx 145^{\circ}$
So, the reference angle is: $\theta = 360^{\circ}-145^{\circ}=215^{\circ}$