In a certain pentagon, the interior angles are \(a^\circ, b^\circ, c^\circ, d^\circ, \) and \(e^\circ\), where a, b, c, d, e are strictly integers 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 \(61^\circ\) and there is only one mode, then what are the degree measures of all five angles?
