Question

1. choose the correct answer.

how many diagonals does a nonagon have?
9
14
27
0

1. choose the correct answer.

how many diagonals does a heptagon have?
14
27
9
1

Explanation:

Step1: Recall the formula for the number of diagonals in a polygon

The formula for the number of diagonals \(d\) in an \(n -\)sided polygon is \(d=\frac{n(n - 3)}{2}\).

Step2: For a nonagon (\(n = 9\))

Substitute \(n = 9\) into the formula: \(d=\frac{9\times(9 - 3)}{2}=\frac{9\times6}{2}=27\).

Step3: For a heptagon (\(n=7\))

Substitute \(n = 7\) into the formula: \(d=\frac{7\times(7 - 3)}{2}=\frac{7\times4}{2}=14\).

Answer:

1. \(27\)
2. \(14\)