Diagram NOT accurately drawn $$\(B, D, E\)$$ and $$\(F\)$$ are points on a circle. $$\(A B C\)$$ is the tangent to the circle at $$\(B\)$$. Angle $$\(E D F=40^{\circ}\)$$ Angle $$\(F B C=70^{\circ}\)$$ Prove that the tangent $$\(A B C\)$$ is parallel to $$\(E F\)$$. Give a reason for each stage of your working.

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