3d Geometry

Let \({P_1}:\overrightarrow r \,.\,\left( {2\widehat i + \widehat j - 3\widehat k} \right) = 4\) be a plane. Let P₂ be another plane which passes through the points (2, \(-\)3, 2), (2, \(-\)2, \(-\)3) and (1, \(-\)4, 2). If the direction ratios of the line of intersection of P₁ and P₂ be 16, \(\alpha\), \(\beta\), then the value of \(\alpha\) + \(\beta\) is equal to ________________.