SOLUTION: How many diagonals could be drawn from one vertex for a 36-gon?

Question 223233: How many diagonals could be drawn from one vertex for a 36-gon?
Found 3 solutions by stanbon, solver91311, lizard:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many diagonals could be drawn from one vertex for a 36-gon?
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There are 35 other vertices.
2 of them are connected by sides of the 36-gon.
Therefore you could draw up to 33 diagonals.
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Cheers,
Stan H.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Consider an -gon. You can't draw a diagonal from a vertex to itself, so that is one fewer than the number of vertices. Then you can draw a line segment from a vertex to either of the adjacent vertices, but each of those would be coincident with a side and therefore not a diagonal. That's two more fewer than the number of vertices. All together, 3 fewer diagonals than the number of vertices.

John

Answer by lizard(7)   (Show Source): You can put this solution on YOUR website!
33 because 2 sides are adjacent so they can't form diagonals,and the vertex ur on doesnt count, but all of the others can form diagonals so whenever you reach a problem like this just subtract 3 from the # of sides
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