If $cos(x - y) = \frac{\sqrt{3}}{2}$ and $sin (x + y) = \frac{1}{2}$, then the value of x( 0 < x < 90) is :

15° 60° 45° 30°

30°

cos ( x - y ) = \(\frac{√3}{2}\) & sin ( x + y ) = \(\frac{1}{2}\) We know, cos 30º = \(\frac{√3}{2}\)  &   sin30º = \(\frac{1}{2}\) So,  x - y = 30º    ----(1) x + y = 30º    ----(2) On adding 1 and 2 . 2x = 60º x = 30º