Question

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:)

Answer 1

So are you aware that the formula of interior angle of n-gon


=> \[\frac{ (n-2)180 }{ n }\]

Answer 2

?

Answer 3

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

Answer 4

how does this equation help me find n?

Answer 5

Yes.

Now you said each interior angle = 156.

So -

\[\frac{ 180n-360 }{ n } = 156\]

Answer 6

180n - 360 = 156n.

180n - 156n = 360.

24 n = 360.

Answer 7

thank you!