anonymous
  • anonymous
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:
Mathematics
jamiebookeater
  • jamiebookeater
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ParthKohli
  • ParthKohli
\[180 - \rm exterior = interior\]
ParthKohli
  • ParthKohli
Did you figure out the interior angle?
anonymous
  • anonymous
150

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ParthKohli
  • ParthKohli
Right, now for figuring out the number of sides, use the fact that the sum of exterior angles is always \(360^{\circ}\).
ParthKohli
  • ParthKohli
Because one exterior angle is \(30^{\circ}\), we can say that if there are \(n\) exterior angles, then \(30n = 360\).
anonymous
  • anonymous
6 so its a hexagon which has interior angles equal to 120
ParthKohli
  • ParthKohli
Scroll up... you figured that the interior angle is \(150\) which was correct!
anonymous
  • anonymous
hmm... but what about n-2.... Ohhh forgot to subtract 2 xd

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