Prove if G is a graph and every vertex has degree at least three (i.e., 8(G)...

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Prove if G is a graph and every vertex has degree at least three (i.e., 8(G) 3), then G contains a cycle of even length (i.e., a cycle with an even number of edges). Prove if G is a graph and every vertex has degree at least three (i.e., 8(G) 3), then G contains a cycle of even length (i.e., a cycle with an even number of edges).