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In a certain Pentagon, the interior angles are a˚, b˚, c˚, d˚, and  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?

 Jan 15, 2018
edited by LOL314jnl  Jan 15, 2018
edited by LOL314jnl  Jan 16, 2018
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The angles are 60, 61, 61, 62, 185.

 Dec 14, 2019

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