Question

determine how many diagonals each of a. heptagon a. a heptagon has diagonals

Explanation:

Step1: Recall the diagonal formula

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

Step2: Identify the number of sides of a heptagon

A heptagon has $n = 7$ sides.

Step3: Substitute $n = 7$ into the formula

$d=\frac{7\times(7 - 3)}{2}=\frac{7\times4}{2}$.

Step4: Calculate the result

$\frac{7\times4}{2}=14$.

Answer:

14