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Brad1996

  • one year 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:

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  1. ParthKohli
    • one year ago
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    \[180 - \rm exterior = interior\]

  2. ParthKohli
    • one year ago
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    Did you figure out the interior angle?

  3. Brad1996
    • one year ago
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    150

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

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

  6. Brad1996
    • one year ago
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    6 so its a hexagon which has interior angles equal to 120

  7. ParthKohli
    • one year ago
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    Scroll up... you figured that the interior angle is \(150\) which was correct!

  8. Brad1996
    • one year ago
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    hmm... but what about n-2.... Ohhh forgot to subtract 2 xd

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