Several states of proton-unbound isotopes 30Ar and 29Cl were investigated by measuring their in-flight decay products, 28S+proton+proton and 28S+proton, respectively. A refined analysis of 28S-proton angular correlations indicates that the ground state of 30Ar is located at 2.45−0.10+0.05 MeV above the two-proton emission threshold. The theoretical investigation of the 30Ar ground state decay demonstrates that its mechanism has the transition dynamics with a surprisingly strong sensitivity of the correlation patterns of the decay products to the two-proton decay energy of the 30Ar ground state and the one-proton decay energy as well as the one-proton decay width of the 29Cl ground state. The comparison of the experimental 28S-proton angular correlations with those resulting from Monte Carlo simulations of the detector response illustrates that other observed 30Ar excited states decay by sequential emission of protons via intermediate resonances in 29Cl. Based on the findings, the decay schemes of the observed states in 30Ar and 29Cl were constructed. For calibration purposes and for checking the performance of the experimental setup, decays of the previously-known states of a two-proton emitter 19Mg were remeasured. Evidences for one new excited state in 19Mg and two unknown states in 18Na were found