32.5k views
2 votes
A regular polygon has an interior angle of 157.5°. Calculate the number of sides of the polygon.

User Adriano P
by
3.9k points

1 Answer

6 votes

Answer:

16

Explanation:

(n-2)*180=total of the interior angles

(n-2)*180=157.5n

180n-360=157.5n

22.5n-360=0

22.5n=360

n=16

User AmourK
by
4.3k points