5. Let (G,) be a connected simple plane graph. Let F denote the set of faces in (G, o) and for f € F, (f) denote the length of f. Prove that Στενισ) (d(v) – 6) + 2Σ,er(((f) – 3) = -12. vEV(G) (Hint: Use Euler's Formula.)

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