+28 In a certain pentagon, the interior angles are\(\) \($a^\circ,$ $b^\circ,$ $c^\circ,$ $d^\circ,$ and $e^\circ,$\) where 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\( $61^\circ$\) and there is only one mode, then what are the degree measures of all five angles?
+118677
In a certain pentagon, the interior angles are a,b,c,d,e where are integers strictly less than 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?
Angle sum of a pentagon is 180*3 = 540 degrees.
540-61= 479
479/4=119.75 since 2 are very little, 2 must be really big.
179+179=358
60+60=120
358+120=478 which is one too little
60,60,61,179,179 = 539 1 to little and there is 2 modes
60,61,61,179,179 = 540 right size but 2 modes
61,61,61,178,179 = 540 right size and only one mode.
Same as Tertre so that is great :)
