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In a certain pentagon, the interior angles are a b c d  and e (all with degrees signs) where a b c d 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(degrees sign) and there is only one mode, then what are the degree measures of all five angles?

 May 9, 2020
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The sum of the numbers is 540.

The median is 61.

No number is larger than 179.

There is only one mode.

 

Try this:  179, 178, 61, 61, 61.

 May 9, 2020

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