## The Morley Centre

The trisectors of the angles of a triangle meet in adjacent pairs that are the vertices of a regular triangle XYZ,
called the **Morley triangle**, whose centre is the **Morley centre** of the triangle.

The vertices X, Y, Z, are the incentres of the triangles BUC, CVA, AWB, formed by the other pairs of trisectors.
The triangles UYZ, VZX, WXY are isosceles.