Equilateral Dissection

From a paper by Andrzej Zac, via Gábor Damásdi.[br][url=https://ajc.maths.uq.edu.au/pdf/44/ajc_v44_p087.pdf]Andrzej's paper[/url][br][url=https://szimmetria-airtemmizs.tumblr.com/post/720726857668034560/i-turned-this-into-a-wooden-puzzle-it-is]Gábor's puzzle[/url][br][br]When I got the angles from solving the system, it gave a slightly different solution! Here as a puzzle...
[url=https://www.tumblr.com/mathhombre/720784771221995520/super-cool-the-paper-which-system-has-this?source=share]Solution available here[/url].

Information: Equilateral Dissection