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˚ and there is only one mode, then what are the degree measures of all five angles?