Morley's trisector theorem

Morley's trisector theorem states that if you take any triangle and draw two lines at each corner, dividing the angles into three equal parts, the points where these lines intersect form an equilateral triangle. In essence, partitioning each angle of a triangle into three equal sections and connecting certain intersections creates an elegant, perfectly equilateral triangle inside the original triangle. This remarkable geometric fact holds true for any triangle, revealing a surprising and beautiful relationship between angle divisions and equilateral shapes within.