Angles made with the x - axis by two lines drawn through the point (1, 2) and cutting the line x + y = 4 at a distance $\sqrt{\frac{2}{3}}$ from the point (1,2) are

• A

  $\frac{\pi }{6} and \frac{\pi }{3}$

• B

  $\frac{\pi }{8} and \frac{3\pi }{8}$

• C

  $\frac{\pi }{12} and \frac{5\pi }{12}$

• D

  $\frac{\pi }{4} and \frac{\pi }{2}$