Given that, x, y and 40o are the angles of a triangle.
So, x + y + 40 = 180
[since, the sum of all the angles of a triangle is 180o]
And hence x + y = 140 …(i)
Also, difference of angles = x – y = 30 …(ii)
On adding Eqs. (i) and (ii), we get
2x = 170
So, x = 85
On putting in Eq. (i), we get
y = 55
Hence, the required values of x and y are 85 and 55, respectively.