The diagram shows three particles A, B, and C hanging freely in equilibrium, each being attached to the end of a string. The other ends of the three strings are tied together and are at the point X. The strings carrying A and C pass over smooth fixed horizontal pegs P₁ and P₂ respectively. The weights of A, B, and C are 5.5 N, 7.3 N, and W N respectively, and the angle P₁XP₂ is a right angle. Find the angle AP₁X and the value of W.