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In a certain pentagon, the interior angles are   A B C D    and E   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  and there is only one mode, then what are the degree measures of all five angles?

 Dec 18, 2018
 #1
avatar+4400 
+2

(61,61,61,178,179)

 

is the only combo that does the job.

 Dec 18, 2018
 #2
avatar+21819 
+9

In a certain pentagon, the interior angles are   A B C D    and E   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  and there is only one mode,

then what are the degree measures of all five angles?

 

See the answer here:  https://web2.0calc.com/questions/help_53845

 

laugh

 Dec 18, 2018

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