$$\(P, R\)$$ and $$\(Q\)$$ are points on the circle. $$\(A B\)$$ is a tangent to the circle at $$\(Q\)$$. $$\(Q R\)$$ bisects angle $$\(P Q B\)$$. Angle $$\(B Q R=x^{\circ}\)$$ and $$\(x< 60\)$$. Use this information to show that triangle $$\(P Q R\)$$ is an isosceles triangle. Give a geometrical reason for each step of your work.

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