Tangent and normal and tangent

Geometry Level pending

The tangent and normal at the point \(P=(at^2,2at)\) to the parabola \(y^2=4ax\) meet the \(x\)-axis in \(T\) and \(G\) respectively, then the angle at which the tangent at \(P\) to the parabola is inclined to the tangent at \(P\) to the circle through \(P,T\) and \(G\) is equal to \(\text{__________} \).

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