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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:
 one year ago
 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:
 one year ago
 one year ago

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ParthKohliBest ResponseYou've already chosen the best response.1
\[180  \rm exterior = interior\]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Did you figure out the interior angle?
 one year ago

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

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

Brad1996Best ResponseYou've already chosen the best response.0
6 so its a hexagon which has interior angles equal to 120
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.1
Scroll up... you figured that the interior angle is \(150\) which was correct!
 one year ago

Brad1996Best ResponseYou've already chosen the best response.0
hmm... but what about n2.... Ohhh forgot to subtract 2 xd
 one year ago
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