  Weakly-interacting massive particles (WIMPs) annihilating in the center of
the Sun or the Earth may give rise to energetic neutrinos which might be
discovered by astronomical neutrino detectors. The angular distribution of the
neutrino-induced muons is considered in detail via Monte Carlo simulations. It
is shown that large underground \v{C}erenkov neutrino telescopes might be able
to extract the WIMP mass from the width of the muon angular distribution.
