Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Brad1996

  • 3 years ago

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°? Numerical Answers Expected! Answer for Blank 1:

  • This Question is Closed
  1. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[180 - \rm exterior = interior\]

  2. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Did you figure out the interior angle?

  3. Brad1996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    150

  4. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Right, now for figuring out the number of sides, use the fact that the sum of exterior angles is always \(360^{\circ}\).

  5. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Because one exterior angle is \(30^{\circ}\), we can say that if there are \(n\) exterior angles, then \(30n = 360\).

  6. Brad1996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    6 so its a hexagon which has interior angles equal to 120

  7. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Scroll up... you figured that the interior angle is \(150\) which was correct!

  8. Brad1996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm... but what about n-2.... Ohhh forgot to subtract 2 xd

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy