Register
Given the measure of one interior angle of a REGULAR n-gon is 165 degrees, find the number of sides
139,016 views
19 votes
19 votes
Given the measure of one interior angle of a REGULAR n-gon is 165 degrees, find the number of sides

User Nyeka
by
3.2k points

1 Answer

19 votes
19 votes

the formula is


\begin{gathered} 165=180*(n-2)/(n) \\ 165* n=180(n-2) \\ 165n=180n-360 \\ 165n-180n=180n-360-180n \\ -15n=-360 \\ -(15n)/(-15)=-(360)/(-15) \\ n=24 \end{gathered}

answer: 24 sides

User Alsdkjasdlkja
by
2.9k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers

Other Questions

Can anybody tell me what’s going on here?
Granola costs $1.76 per pound. Write and solve an equation to determine the number of pounds p of granola that can be purchased with $7.04. The equation is: The value of x is
Evalute 8a -1+0.5b when a =1/4 and b= 10 how dose this work i need help..
PLZ needed now plz URGENT!
HELP PLEASE, I NEED THE ANSWER QUICKLY
Link Copied!