If the angles of a triangle are x, y and `40^(@)` and the difference between the two angles x and y is `30^(@)`. Then, find the value of x and y.

Explanation

Given that, x, y and `40^(@)` are the angles of a triangle.
`:. " " x+y+40^(@)=180^(@)`
`" " `[since, the sum of all the angles of a triangle is `180^(@)`]
`rArr " " x+y=140^(@) " " ...(i)`
Also, `" " x-y=30^(@) " " ...(ii)`
On putting `x=85^(@)` in Eq. (i), we get
`" " 85^(@)+y=140^(@)`
`rArr " " y=55^(@)`
Hence, the required values of x and y are `85^(@)` and `55^(@)`, respectively.