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This generalizes a result of Gutierrez-Ratcliffe who relate the intersection of two subgroups with the computation of $\\pi_2$. Let $K$ be a two-dimensional CW-complex with subcomplexes $K_1,K_2,K_3$ such that $K=K_1\\cup K_2\\cup K_3$ and $K_1\\cap K_2\\cap K_3$ is the 1-skeleton $K^1$ of $K$. 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