Question

write the formula to find the number of diagonals of a polygon. find the number of diagonals of the following polygons. 1. Pentagon 2.Quadrilateral​

Answer 1

Answer:

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3)

Step-by-step explanation:

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Answer 2

Answer:

To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).