SOLUTION: 1. How many angles would a regular polygon have if each exterior angle measures 5°? 2. Calculate the measure for each interior angle of a regular 15-gon. 3. Calculate the m

Algebra ->  Polygons -> SOLUTION: 1. How many angles would a regular polygon have if each exterior angle measures 5°? 2. Calculate the measure for each interior angle of a regular 15-gon. 3. Calculate the m      Log On


   



Question 244486: 1.
How many angles would a regular polygon have if each exterior angle measures 5°?
2.
Calculate the measure for each interior angle of a regular 15-gon.
3.
Calculate the measure for each exterior angle of a regular nonagon

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1.
How many angles would a regular polygon have if each exterior angle measures 5°?
Each interior angle is 175 degs.
n = 360/(180 - 175)
n = 72 sides and angles
------------------------
2.
Calculate the measure for each interior angle of a regular 15-gon.
Angles = 180*(15-2)/15
= 156 degs
-------------
3.
Calculate the measure for each exterior angle of a regular nonagon
Interior angle = 180*(9-2)/9 = 140 degs
Exterior = 40 degs