SOLUTION: What formula would you use to solve this: each interior angle of the regular n-gon has a measure of 177.6 degrees

SOLUTION: What formula would you use to solve this: each interior angle of the regular n-gon has a measure of 177.6 degrees

Algebra.Com

Question 828191: What formula would you use to solve this: each interior angle of the regular n-gon has a measure of 177.6 degrees
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I = 180(n-2)/n

177.6 = 180(n-2)/n

177.6n = 180(n-2)

177.6n = 180n-360

177.6n-180n = -360

-2.4n = -360

n = -360/(-2.4)

n = 150

There are 150 sides (and 150 angles) in this polygon.
RELATED QUESTIONS
each interior angle of the regular n-gon has a measure of 156. what is n (answered by stanbon)

Find the value of n for regular n-gon described. Each interior angle of the regular n-gon (answered by jim_thompson5910)

You are given the measure of each interior angle of a regular n-gon. Find the value of n. (answered by solver91311)

Hello, I have been working on these math problems for a very long times, and I cannot... (answered by Alan3354)

Each exterior angle of the regular n-gon has a measure of 5 degrees. find... (answered by ikleyn)

You are given the measure of each interior angle of a regular n-gon. Find the value of... (answered by richard1234)

If the interior angle of a regular n-gon measures 160 degrees, what is... (answered by venugopalramana)

Each exterior angle of a regular n-gon has a measure of 90 degrees. find... (answered by Alan3354)

The measure of each exterior angle of a regular n-gon is 18°. A) Find the value of n. (answered by ikleyn,MathLover1,Alan3354)