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The ground states with spin 2~ of the odd-odd nuclei decay into those of the even-even nuclei through several channels, 2" -* 0 + , 2" -4 2 + -^ 0+, etc. In the 2~ -* 2 + transition, all first forbidden matrix elements other than £,-,-are reduced in magnitude from their normal values, if the j selection rule of the j-j coupling shell model or the K selection rule of the rotational excitation in the collective model is realized in the main configurations of states 2~ and 2 + . In such a case, the present theory distinguishes whether the 02 decay obeys the./ selection rule or the K selection rule. Furthermore, if the j selection rule holds, the theory gives the configuration of the low-lying 2" 1 " state. This is done by combining the data on 02-y directional correlations and branching ratio of 0i and 02, with the calculated value for (J*Bij)i/{fBij)i which is nuclear-model dependent. The first excited 2 + states in Se 76 , Sr 86 , Te m , and Xe 126 are studied in comparison with available data on beta decays of As 76 , Rb 86 , Sb m , and I 126 .