How many diagonals can be drawn by joining the vertices of an octagon?
20
24
28
64
Each point on the octagon can be connected to (8 - 3) points. So each point can form 5 diagonals. So we get 40 in all. However this includes similar pairs, i.e. 1-6, 6-1, 2-4, 4-2 etc. So we divide this by 2. So, answer is 20.
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