Hi Elang,

I know as of now you have already solved the problem.

However, I think I might be able to correct your calculations a bit further.



Though I think it is a difficult problem for your nephew. But if he has more of these puzzles I would be happy to see them :-)

Remember alpha can have different values I chose the value that helps solving the problem.

The numerical method was done using a pocket calculator. So, maybe there are methods to calculate it with even more accuracy.

Do not take the last digit as granted. and for two alphas I think you can assume it is equal to 114.8120745 degrees.

If u use this amount then Angles A,B & E would all be equal to 114.8120745. However, even in this situation when u superzoom into it there u can see the corners are not on the big circle (which I think is not a calculating issue, it is rather displaying issue which I personally believe u can safely ignore it.)

And I failed to find a simple genius method to solve this problem, maybe there isn't such a solution. However, I cannot be sure!

- Psygorn