Question

What is the measure of each interior angle and each exterior angle of a regular polygon with 15 sides

Answer 1

Answer: interior angle: 156 degrees

exterior angle: 24 degrees

Explanation:

i=interior angle. e=exterior angle

i+e=180

Triangle with 3 sides: Total degrees is 180

Square with 4 sides: Total degrees is 360

Pentagon with 5 sides: Total degrees is 540

s=sides. d=degrees

(540-360)/(5-4)=

180/1=180

d=180s+b

540=180(5)+b

540=900+b

b=-360

d=180s-360

d=180(15)-360

d=2700-360

d=2340 degrees

2340/15=156

i=156 ==> interior angle: 156 degrees

i+e=180

156+e=180

e=24 ==> exterior angle: 24 degrees