Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the sum of the measures of the interior angles of a 21-gon.

Sagot :

well you have to use the equation     (n-2(180))  where n represents the number of sides  

so-    21 - 2 = 19      then multiply    19 x 180 = 3420

so the sum of all the interior angles in a 21-gon is equal to    3420 degrees
we know that
Sum of the measures of the interior angles of a polygon of n sides is equal to

[tex](n-2)*180[/tex]

where
n is the number of sides

in this problem
[tex]n=21 \\ (21-2)*180=3420[/tex]°

Hence

sum of the measures of the interior angles of a 21 sided polygon is
[tex]3420[/tex]°