Each exterior angle of a regular n-gon measures 16 4/11. How many sides does this n-gon have?

exterior-angles
n-gon-measures

#1

“each exterior angle of a regular n-gon measures 16 4/11. How many sides does this n-gon have?” I’m confused on questions like this. I know you use the exterior angle formula (360/n)

Answer:

You pretty much know what you need.

360/n = 16 4/11

convert to improper fraction

360/n=180/11

Cross multiply

180n = 11(360)

Divide by 180

n= 11(360)/180 = 22