Question

find the sum of the interior angle measures of a convex 13 - gon (a thirteen - sided polygon). sum of the interior angle measures = (square^{circ})

Explanation:

Step1: Recall the formula

The formula for the sum of interior - angle measures of a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Substitute $n = 13$

Substitute $n = 13$ into the formula: $S=(13 - 2)\times180^{\circ}$.

Step3: Calculate

First, calculate $13−2 = 11$. Then, $11\times180^{\circ}=1980^{\circ}$.

Answer:

$1980$