 $\Delta_0$ is a cone point of angle $\theta_0 \in (0, \pi]$ and consider a pair of generalized simple closed geodesics $\alpha, \beta$ on $M$ such that $\alpha$ is a cone point of angle $\varphi \in (0,\pi]$ and $\beta$ is an interior generalized simple closed geodesic and that they bound with $\Delta_0$ an embedded pair of pants $\mathcal P(\Delta_0,\alpha,\beta)$ on $M$.  