If the measure of each interior angle of a regular polygon is 165, find the number of sides of the polygon.
Mathematics
claireeemills01
Question
If the measure of each interior angle of a regular polygon is 165, find the number of sides of the polygon.
2 Answer

1. User Answers valeriewright17
If the interior angle of a regular polygon is 165°, then the size of its exterior angle is 15°. Since the exterior angles of a polygon always add to 360°, then the number of sides is 360/15 = 24.
There are 24 sides on this polygon. Answer is 24 
2. User Answers zoeharris14
There is an equation for this. You take 180°165°=15°. Then you take 360÷15=24. So there are 24 exterier angles with each angle being 15°. Since there are 24 exterior angles, there are 24 sides.