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 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 $60^\circ$, then what are the possible degree measures of all five angles?
