The sides of a quadrilateral are all positive integers and three of them are 30,80 and 90 units.How many possible values are there for the fourth side?

property of quadrilateralis all sides of quadrilaterial is less than sum of all other sides
sides are of length
30, 80, 90
so maximum length can be, 30+80+90-1= 199 ( as it's less than not equal to sum of all other sides)
and minimum can be, let it be x
90=80+ 30 +x
=>x=20
x=21 ( as it's less than not equal to sum of all other sides)
so, from 21 to 199 interger can be
199- 20 = 179 answer