2006 Seniors Pancyprian/2nd grade/Problem 4
Problem
A quadrilateral 
, that has no parallel sides, is inscribed in a circle, its sides 
, 
meet at 
and its sides 
, 
meet at 
.
If the bisectors of of 
and 
intersect the sides of the quadrilateral at the points 
prove that
i)The bisectors intersect normally
ii)the points are vertices of a rhombus.
