Two objects with masses represented by m₁ and m₂ are moving such that their combined total momentum has a magnitude of 16.2 kg·m/s and points in a direction 71.5° above the positive x-axis. Object m1 is moving in the x direction with a speed of v₁ = 2.88 m/s and m₂ is moving in the y direction with a speed of v₂ = 3.12 m/s. Determine the mass of each object in kilograms.

m₁ = ?