In a certain pentagon, the interior angles are a, b, c, d, and 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?
I've tried 61, 61, 61, 178, 179, but I have no idea what to do next.
Thank you!!!
