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

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I'm sure there are more than one solution to this problem.

@geerky42 sure you can try something other than 61,61,61,177,178 please.. With some better reasoning

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