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QUESTION

Consider a planar graph whose faces are triangles and fivegons, such that each edges separates a triangle and a fivegon, and each vertex is adjacent...

Consider a planar graph whose faces are triangles and fivegons, such that each edges

separates a triangle and a fivegon, and each vertex is adjacent to two triangles and

two fivegons. How many triangles does this graph have?

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