193k views
0 votes
Each interior angle of a regular polygon is 160°. How many sides has it? ​

1 Answer

5 votes

Answer:

18 sides

Explanation:

Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:

(180-160)°•(n)=360°

(20°)•(n)=360°

n=(360/20)°

n=18 sides

User Vitaminwater
by
8.3k points

No related questions found