Determine arc length

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I know only the angle BCA. How can I determine the lenght of arc EFG.I don't know the central angle C

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It's simple...There are tangent lines and parallel lines all over the place The answer is $$360^\circ-180^\circ-\angle BCA=...$$ which gives the central angle..All you need is the radius.

Note:(I assumed circles have same radii as no information is given.)