## anonymous 3 years ago Directions: Find the value of n for each regular n-gon described. Question: Each interior angle of the regular n-gon has a measure of 156 degrees. Please show work!!! thank you:)

1. anonymous

So are you aware that the formula of interior angle of n-gon => $\frac{ (n-2)180 }{ n }$

2. anonymous

?

3. anonymous

if i'm trying to find n? then the equation is (180n-360)/n ?

4. anonymous

how does this equation help me find n?

5. anonymous

Yes. Now you said each interior angle = 156. So - $\frac{ 180n-360 }{ n } = 156$

6. anonymous

180n - 360 = 156n. 180n - 156n = 360. 24 n = 360.

7. anonymous

thank you!