Question

what expression could be used to calculate one interior angle of a 14 - gon?
$\frac{(12 - 2)180}{12}$
$\frac{(14 - 2)180}{14}$
$(14 - 2)180$
not enough information. we must know if the polygon is regular to proceed.

Explanation:

Step1: Recall sum - of - interior - angles formula

The sum of the interior angles of an $n$-sided polygon is given by $(n - 2)\times180^{\circ}$. Here, $n = 14$, so the sum of interior angles of a 14 - gon is $(14 - 2)\times180$.

Step2: Find one interior angle of a regular polygon

For a regular polygon, all interior angles are equal. To find the measure of one interior angle of a regular $n$-sided polygon, we divide the sum of the interior angles by the number of sides $n$. So for a 14 - gon, one interior angle is $\frac{(14 - 2)\times180}{14}$.

Answer:

B. $\frac{(14 - 2)180}{14}$