Question

For a convex 19-gon, what is the sum of the measures of the interior angles?

Answer 1

a convex 19-on has a central angle measure of 360/19 = 18,947 rounded 18,95
an interior angle measure will be 180 -18,95 = 161,05 degrees 

so the seum of the interior angles of a convex 19-gon will be equal
 = 19*161,05 = 

Answer 2

Answer:

The sum of the measures of the interior angles is 3060°  

Step-by-step explanation:

Given the convex 19-gon,

we have to find the sum of the measures of the interior angles.

As the sum of the measures of the interior angles of a polygon with n sides is calculated by the formula

$\text{Sum of interior angles}=(n - 2)180$

Here given the convex 19-gon i.e  n=19

$=(19-2)\times 180$

$17\times 180=3060\°$

Hence, the sum of the measures of the interior angles is 3060°