Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

DorelTibi

  • one year ago

The measure of an interior angle of a regular polygon is 165.6°. How many sides make up the regular polygon?

  • This Question is Closed
  1. ChmE
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I regular polygon has equal interior angles. And the formula for the sum of the interior angles is (n-2)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

  2. ChmE
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1) Find the exterior angle. 2) Divide 360 by the exterior to get the number of sides

  3. tcarroll010
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ (n - 2) \times 180 }{ n } = 165.6\] Solve for "n". "n" = 25

  4. tcarroll010
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The "n-2" is the number of triangles one can get from the polygon by drawing diagonals from one given vertex to "n-3" 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.

  5. tcarroll010
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    All good now?

  6. tcarroll010
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @DorelTibi ?

  7. DorelTibi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah i got it thanks

  8. tcarroll010
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you're welcome

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.