We have measured the broadening of
Rb87 level-crossing signals due to collisions with
Rb85. The depolarization or broadening rates for the
52P21 state orientation, the
52P23 state orientation and alignment, and the
52P23 state 58-G crossing were measured. Theoretical resonance-broadening depolarization rates for the electronic angular momentum, due to Carrington, Stacey, and Cooper, have been incorporated into calculations of the Hanle-effect signals in the presence of nuclear-spin coupling. The experimental broadening rates are corrected for a minor amount of coherence narrowing. The measured broadening rate for the three
52P23 state level-crossing signals are in 20% agreement with the theory. The measured
52P21 state broadening rate exceeds the theoretical by about a factor of 2. This discrepancy may be due to the action of the hyperfine interaction during these unusually long duration collisions. The natural lifetimes of the
52P23 and
52P21 states are determined from the low-density linewidth to be 27.0 \ifmmode\pm\else\textpm\fi{} 0.5 and 29.4 \ifmmode\pm\else\textpm\fi{} 0.7 nsec, respectively.