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In a certain Pentagon, the interior angles are a˚, b˚, c˚, d˚, and e˚ where a, b, c, d, and e are integers strictly less than 180. ("Strictly less than 180" means they are "less than and not equal to" 180.)

 

If the median of the interior angles is 61˚, then what is the largest possible angle in the pentagon?

 Oct 17, 2020
 #1
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The largest possible angle in the pentagon is 179 degrees.

 
 Oct 17, 2020
 #2
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60º + 61º + 61º + 179º + 179º = 540º

 
 Oct 17, 2020

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