The sum of the measures of the interior angles of a convex polygon is 1080° Classify the polygon by the number of sides

Question

asked Jan 2, 2021 114k views

1 Answer

Eric Lubow · Answer 1 · 2021-01-08T15:55:41+0000

Answer:

(n-2)×180=1080

180n -360=1080

180n = 1080+360

180n =1440

dividing by 180

n=8

hence it is a regular polygon with 8 sides .I.e it is an octagon

Explanation:

we are given the total interior angles in the polygon and we know that the formula to find the total interior angles of a polygon is (n-2) ×180

where n is the number of sides