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anonymous
 one year ago
In a certain pentagon, the interior angles are a,b,c,d,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?
anonymous
 one year ago
In a certain pentagon, the interior angles are a,b,c,d,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?

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1i imagine there is no one answer to this question The following list of angles would meet the requirements 59,60,61,61,149,150 ( = 540 degrees )

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1ooops thats wrong  I have 6 angles there 1 only 5 in a pentagon!

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0and the median is not 61 as well

welshfella
 one year ago
Best ResponseYou've already chosen the best response.161 is middle angle since its the median

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0i don't get what "there is only one mod" mean

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1so we have   61  

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 i guess one angle occurs twice? or it could occur 3 times??  thats still only one mod right?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1what if we had 61 , 61,61 how many degrees left? 540  183 = 357 so other 2 angles could be 179 and 178

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0I am pretty sure that the sentence "there is only one mod" has some meaning and it limits the answer. @satellite73

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 hasn't that list only got one mode?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1its an odd question

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 i think this might be the only solution because 3 61's is the only combination that will all ow the last 2 numbers to less than 180 degrees and different

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Please 61 is the Median and yes two angles can be 61 which means the other 3 have to be same to be a mode of which there can be only one. Now 61*2=122 So, 540122= 418 418/3 = 139.33333.. Now something isn't right here or my understanding incorrect

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0We can turn it into one mode. :) as what welshfella said, it can be 6161 61 and n, n 5403*61 = 357, that means n = 178.5 to turn it to multiple of 61, we do 61 * factor = 178.5 , hence factor = 178.5/ 61=(357/122) hence the angles are 61,61,61, (357/122)61, (357/122)61 hahaha... I am crazy.!!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Loser.. as the name suggest... I am serious here.. need to solve this real quick

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0Yes, I am a big Loser. I want to study also. That was why I tagged many others to get help for YOU. If my solution doesn't satisfy you, I am so sorry.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0u r not a loser.. I cant understand why we convert median to mode.. there is a catch here... also I tired to solve.. what is wrong in that can you suggest. Name or no name.. whats in it ? A guide can be a misguide.. sorry I didn't meant to be rude

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1what is wrong with my solution? It fits all the requirements
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