Hi Elang

Congratulations on solving the puzzle!
Your numbers and angles look about as good as they can be, given 7 decimals of precision, at X = 10.


After carefully redrawing as X = 10, with radius of 9.2819138, these are some values realized:
Radius = 9.2819138 (This value might be slightly too great, in decimal 7.
Angle A = 97.781889
Angle B = 114.812072
Angle C = 114.812074 (Slightly different)

These numbers are nearly the same as your numbers, +/-.

Construction can use a variety of MoI commands.
Zooming in a huge amount, shows very slight anomalies

I do not know if X = 100 would make much difference. Maybe pick up an extra decimal.

- Brian