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Best Answer Warren says
I had another go at this and took the circles apart.
Two circles have 6 arcs, you can then join 2 arcs together to get another 6 larger arcs, 3 together for another 6, 4 of 6 and 5 of 6=30x2
The other 2 have 4 arcs, 4 of 2 plus 4 of 3=12x2
Excellent! 84 is the right answer.
I really enjoyed working this one out and it's so gratifying knowing I got it right in the end.
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Mike Inkster says
Thanks for taking a crack at it, Mike. The Quiz Master got it right at 84 arcs.