The signature splittings in K π = 1 + : 7/2[404] π ⊗9/2[624] ν , K π = 0 − : 9/2[514] π ⊗9/2[624] ν bands of 180 Ta and K π = 0 − : 7/2[404] π ⊗7/2[503] ν , K π = 1 − : 5/2[402] π ⊗3/2[512] ν , K π = 1 + : 7/2[404] π ⊗9/2[624] ν bands of 182 Ta are analysed within the framework of two-quasiparticle rotor model. The phase as well as magnitude of the experimentally observed signature splitting in K π = 1 + band of 180 Ta, which could not be explained in earlier calculations, is successfully reproduced. The conflict regarding placement of a 12 + level in K π = 1 + : 7/2 + [404] π ⊗9/2 + [624] ν ground-state rotational band of 180 Ta is resolved and tentative nature of K π = 0 − : 7/2[404] π ⊗7/2[503] ν , K π = 1 + : 7/2[404] π ⊗9/2[624] ν bands observed in 182 Ta is confirmed. As a future prediction for experimentalists, these two-quasiparticle structures observed in 180 Ta and 182 Ta are extended to higher spins.