be a monic polynomial with integer coefficient. And suppose there exist 4 distinct integer 
such that 
.
such that 
such that ![\[f(2x+y) + f(x+f(2y)) = f(x)f(y) - xy\]](http://latex.artofproblemsolving.com/0/6/2/0623b7c328af6d088cfc5dd288afe3e17a94ff29.png)
for all reals 
and 
.
sastifying 
Y by
On the sides 
and 
of the isosceles triangle 
, in which 
, the points 
and 
were chosen, respectively, so that 
. Find the measure of angle 
.
and 
of the isosceles triangle 
, in which 
, the points 
and 
were chosen, respectively, so that 
. Find the measure of angle 
.
