Answer
$206.74^{\circ}$
Work Step by Step
Let us consider $\sin \theta = -0.45$ ; $180^{\circ} \lt \theta \lt 270^{\circ}$
and $\theta =\sin^{-1} (-0.45) \approx -26.74^{\circ}$
So, the reference angle is: $\theta = 180^{\circ}+26.74^{\circ}=206.74^{\circ}$
