Let A B C be an acute-angled triangle and P be a point in its...

Let $A B C$ be an acute-angled triangle and P be a point in its interior. Let $P_A, P_B$, and $P_C$ be the images of $P$ under reflection in the sides $B C, C A$ and $A B$, respectively. If $P$ is the orthocentre of the triangle $P_A P_B P_C$ and if the largest angle of the triangle that can be formed by the line segments $P A$, $P B$, and $P C$ is $x^{\circ}$; determine the value of $x$.