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How many sides would there be in a convex polygon if the sum of all but one of its interior angles is 1970 degrees?

 May 17, 2021
 #1
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The polygon has 28 sides.

 May 17, 2021
 #2
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(n - 2) *  180   >  1970

 

180n   -  360  >  1970

 

180n  >  2330

 

n  =  ceiling   [  2330 /  180  ]   =  ceiling  [ 12.97....  ]   =     13  sides

 

 

cool cool cool

 May 17, 2021

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