Geometry in Parabola!

Geometry Level 3

Consider a parabolic mirror with vertex \(O\). A light ray originating from focus \(S\) of the parabola, strikes the mirror at a point \(P\) such that it gets deviated by \(30^{\circ}\) after reflection.

Now, if we draw a tangent at point \(P\) to the same parabola, it intersects the tangent at vertex at point \(Q\). Find \(\angle OSQ\) (in degrees).

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