Problem

16. How many diagonals can be drawn from each vertex of a 13-gon?

Solution

Step 1 :A polygon with n sides has n vertices. From each vertex, we can draw a line to every other vertex except itself and the two adjacent vertices.

Step 2 :Let's consider a 13-gon. It has 13 vertices.

Step 3 :From each vertex of a 13-gon, we can draw \(13 - 1 - 2\) diagonals.

Step 4 :Performing the subtraction, we find that from each vertex of a 13-gon, \(10\) diagonals can be drawn.

Step 5 :\(\boxed{10}\) is the final answer.

From Solvely APP
Source: https://solvelyapp.com/problems/16474/

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