(1) Easily proved using sine rule.
(2)

3) The outer angles are the same as the angles in the triangles r, s and t.
(4) There is much more to discover but this leaves the problem very
open. For example there are the recurrence relations, or the
repeating angles in the trapezia , or the tessellation of the plane
twice with the tiles remaining after all the squares are removed or
tessellations suggested by this diagram.
