Angular distribution of individual $gamma$-rays, emitted from a neutron-induced compound nuclear state via radiative capture reaction of ${}^{139}$La(n,$gamma$) has been studied as a function of incident neutron energy in the epithermal region by using germanium detectors. An asymmetry $A_{mathrm{LH}}$ was defined as $(N_{mathrm L}-N_{mathrm H})/(N_{mathrm L}+N_{mathrm H})$, where $N_{mathrm L}$ and $N_{mathrm H}$ are integrals of low and high energy region of a neutron resonance respectively, and we found that $A_{mathrm{LH}}$ has the angular dependence of $(Acostheta_gamma+B)$, where $theta_gamma$ is emitted angle of $gamma$-rays, with $A= -0.3881pm0.0236$ and $B=-0.0747pm0.0105$ in 0.74 eV p-wave resonance. This angular distribution was analyzed within the framework of interference between s- and p-wave amplitudes in the entrance channel to the compound nuclear state, and it is interpreted as the value of the partial p-wave neutron width corresponding to the total angular momentum of the incident neutron combined with the weak matrix element, in the context of the mechanism of enhanced parity-violating effects. Additionally we used the result to quantify the possible enhancement of the breaking of the time-reversal invariance in the vicinity of the p-wave resonance.
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