Question

find the sum of the interior angle measures of a convex 19-gon (a nineteen-sided polygon). sum of the interior angle measures = \\(\square^\circ\\)

Explanation:

Step1: Recall interior angle sum formula

The formula for the sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$.

Step2: Substitute $n=19$ into formula

$$(19-2)\times180^\circ = 17\times180^\circ$$

Step3: Calculate the product

$$17\times180^\circ = 3060^\circ$$

Answer:

$3060$