Answer
See below
Work Step by Step
Let us consider $\sin \theta = 0.15$ ; $90^{\circ} \lt \theta \lt 180^{\circ}$
and $\theta =\sin^{-1} (-0.15) \approx 8^{\circ}$
So, the reference angle is: $\theta = 180^{\circ}-8^{\circ}=172^{\circ}$
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