Question

what expression could be used to calculate one interior angle of a regular octagon? not enough information (8 - 2)180 $\frac{(8 - 2)180}{8}$ (6 - 2)180

Explanation:

Step1: Recall polygon - sum formula

The sum of interior angles of a polygon is given by $(n - 2)\times180^{\circ}$, where $n$ is the number of sides. For an octagon, $n = 8$, so the sum of interior angles is $(8 - 2)\times180$.

Step2: Find one interior angle

Since a regular octagon has all interior angles equal, to find one interior angle, we divide the sum of interior angles by the number of sides $n$. So one interior angle is $\frac{(8 - 2)\times180}{8}$.

Answer:

C. $\frac{(8 - 2)180}{8}$