Question

59)
How many diagonals can be drawn from one vertex of a 7-sided polygon?

a) 4
b) 5
c) 7
d) 9

Answer 1

a) 4, because when you want a diagonal from a vertex, you have to exclude the vertex from where you want to draw the diagonal itself, and the 2 vertices joined to it by the polygon. So that leaves 7 - 3 = 4 vertices, and thus 4 diagonals