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The exterior angles of a k-sided polygon form an arithmetic sequence. The smallest and largest interior angles of the polygon are 136 and 176. What is k?

 Jan 29, 2021
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The exterior angles of a k-sided polygon form an arithmetic sequence. The smallest and largest interior angles of the polygon are 136 and 176. What is k?

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I've tried hard but couldn't solve it, so I had to use the calculator.laugh

 

k = 15

 

 Jan 30, 2021

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