Let the angles made with the positive \( x \)-axis by two straight lines drawn from the point \( P(2,3) \) and meeting the line \( x+y=6 \) at a distance \( \sqrt{\frac{2}{3}} \) from the point \( P \) be \( \theta_1 \) and \( \theta_2 \). Then the value of \( (\theta_1+\theta_2) \) is:
