Verified Answer :

jhonyy9

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:

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°

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