Final answer:
To determine the number of diagonals in a 9-sided polygon (a nonagon), use the formula n(n – 3)/2, which gives 27 as the total number of diagonals.
Step-by-step explanation:
To find the number of diagonals that can be drawn in a polygon, we use the formula n(n – 3)/2, where n is the number of sides in the polygon. In a 9-sided polygon, also known as a nonagon, we substitute 9 for n in the formula to get:
Number of diagonals = 9(9 – 3)/2
Number of diagonals = 9(6)/2
Number of diagonals = 54/2
Number of diagonals = 27
So, a nonagon has 27 diagonals.