What is the sum of the interior angle measures in a 20-gon?
1 Answer
May 16, 2018
Sum of all interior angles of
Explanation:
Three things first.
- A polygon with
#n# sides (#n# -gon) has#n# interior angles and#n# exterior angles. - As sum of each pair of exterior and interior angles is
#180^@# , sum of all interior and exterior angles is#nxx180^@# - Sum of all the exterior angles of any polygon (i.e. irrespective of its number of sides) is always
#360^@# .
Therefore
As such, sum of its all interior and exterior angles is
Hence, sum of all interior angles is