Question: Use the results of the previous problem to generalize the statements and proofs of Theorems I and II.
Theorem I: If G is simple, planar, and connected and has at least three vertices, then |E(G)| ≤ 3|V(G)| -6.
Theorem II: If G is simple, planar, connected, has no 3-cycles, and has at least three vertices, then |E(G)| ≤ 2|V(G)| -4.