In this thesis the angular analysis of Λb0→Λμ+μ− and Λb0→J/ψΛ decays is presented, using data from pp collisions recorded by the LHCb experiment between 2011 and 2016, corresponding to an integrated luminosity of approximately 5 fb−1. For the Λb0→Λμ+μ− decay, the angular observables are extracted at low hadronic-recoil using the method of moments. This is the first time that the complete set of the angular observables has been measured; the results are published in Ref. [1]. A measurement of the angular observables of the Λb0→J/ψΛ decays is also performed. The angular observables are extracted using a moment analysis; an interpretation of the results in terms of the production polarisation of Λb0 and the decay amplitudes is also performed. This is the first time that the complete set of the angular observables of the Λb0→J/ψΛ has been measured; the results are preliminary and correspond to the current status of the analysis