+142 In a certain pentagon, the interior angles are \(a^\circ,b^\circ,c^\circ,d^\circ,e^\circ\) and where a,b,c,d,e are integers strictly less than 180 degrees. ("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?
