How many diagonals does a 59-sided convex polygon have?	Choose one:
A) 1168
B) 1652
C) 2452
D) 3304
E) 4256
A 59-sided convex polygon has 59 vertices.   If we examine a single vertex, we can see that we can connect it with 56 other vertices to create a diagonal. Note that we can't connect the vertex to itself and we can't connect it to its adjacent vertices, since this would not create a diagonal.   If each of the 59 vertices can be connected with 56 vertices to create a diagonal then the total number of diagonals would be (59)(56) = 3304   However, we must recognize that we have counted every diagonal twice.   To account for counting each diagonal twice, we must divide 3304 by 2 to get 1652.   The answer is 1652.
<result>B</result>
How many diagonals does a 59-sided convex polygon have?