Question: Please show work. Thank you. Let G = (V, E) be a planar graph, where V = a set of vertices, E = a set

Please show work. Thank you. Please show work. Thank you. Let G = (V, E) be

Let G = (V, E) be a planar graph, where V = a set of vertices, E = a set of edges. In some questions, V, E, and F also used for the size of V, E, and F (set of faces), respectively. Give the answer for each statement. If all faces have degree > 2, then G has a vertex of degree 3, then G has a vertex of degree

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