In a certain pentagon, the interior angles are a, b, c, d and e, 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 and there is only one mode, then what are the degree measures of all five angles?
Explain, in words, how to solve this problem. Use complete sentences. Write as though the person reading is one of your classmates who has not seen the problem before. Include any important observations you made and explain why you are doing anything that isn't totally obvious.