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Brad1996
 2 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:
Brad1996
 2 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:

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ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1\[180  \rm exterior = interior\]

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Did you figure out the interior angle?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Right, now for figuring out the number of sides, use the fact that the sum of exterior angles is always \(360^{\circ}\).

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Because one exterior angle is \(30^{\circ}\), we can say that if there are \(n\) exterior angles, then \(30n = 360\).

Brad1996
 2 years ago
Best ResponseYou've already chosen the best response.06 so its a hexagon which has interior angles equal to 120

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Scroll up... you figured that the interior angle is \(150\) which was correct!

Brad1996
 2 years ago
Best ResponseYou've already chosen the best response.0hmm... but what about n2.... Ohhh forgot to subtract 2 xd
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