The sum of interior angles of a polygon with 12 sides is___
1080∘
1600∘
1800∘
1900∘
Sum of interior angles of a polygon =(n−2)×180∘
∴ Sum of interior angles of a polygon with 12 sides =(12−2)×180∘
=10(180∘)
=1800∘
Find the sum of interior angles of a polygon with 12 sides in degrees.
We know that the sum of the interior angles of a triangle is 180∘. Show that the sums of the interior angles of polygons with 3, 4, 5, 6, …. sides form an arithmetic progression. Find the sum of the interior angles for a 21 sided polygon.