Measurement of the $D_1(2420)^0$ and $D^*_2(2460)^0$ mesons at 10.5 GeV. The decay angle of the $D^{+*}$ with respect to the $D_1(2420)^0$ or $D^*_2(2460)^0$ direction in the rest frame of the parent hadron, is measured. This gives information on the spin of the parent.