Question 52644
  
  Angles l+m = 90 and n+p = 90 degrees. i.e. 
  
  angles l + m + n + p = 180 degrees
  
  y-2+2x+3+x-1+2x-y = 180 degrees.  
  
  5x = 180 degrees.  So x = 36.  
  
  angles l + m = y-2+2x+3 = 90 degrees. 
 
  2x + y + 1 = 90;  so, 2x+y = 89;  By replacing the value of x above, we get
 
  2(36)+y = 89;  i.e. 72 + y = 89.
 
  y = 89-72 = 17.  
 
  x = 36; y = 17.  Answer.  The problem can be solved in a different way too.  
 
  y-2+2x+3 = 90  i.e. 2x+y+1 = 90;  2x+y = 89  .....(1)
  x-1+2x-y = 90  i.e. 3x-y-1 = 90;  3x-y = 91  .....(2)
  (2) + (1), we get 5x = 180; so x = 36.  Now replacing this value of x in (1),
  72+y = 89;  So y = 17.  
  x = 36; y = 17. Answer. I think this helps you a lot. 
 
gsm