Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
DorelTibi
Group Title
The measure of an interior angle of a regular polygon is 165.6°. How many sides make up the regular polygon?
 one year ago
 one year ago
DorelTibi Group Title
The measure of an interior angle of a regular polygon is 165.6°. How many sides make up the regular polygon?
 one year ago
 one year ago

This Question is Closed

ChmE Group TitleBest ResponseYou've already chosen the best response.0
I regular polygon has equal interior angles. And the formula for the sum of the interior angles is (n2)180=Total Deg where n equals the number of sides. Also the sum of the exterior angles always add up to 360. Now using these 3 facts we can solve this question
 one year ago

ChmE Group TitleBest ResponseYou've already chosen the best response.0
1) Find the exterior angle. 2) Divide 360 by the exterior to get the number of sides
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ (n  2) \times 180 }{ n } = 165.6\] Solve for "n". "n" = 25
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
The "n2" is the number of triangles one can get from the polygon by drawing diagonals from one given vertex to "n3" other vertices (all vertices except the given vertex and the 2 adjacent vertices). Example: look at a square. Take one vertex as "the vertex". You can draw only one diagonal.
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
All good now?
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
@DorelTibi ?
 one year ago

DorelTibi Group TitleBest ResponseYou've already chosen the best response.0
yeah i got it thanks
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.0
you're welcome
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.