anonymous
  • anonymous
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?
Geometry
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
welshfella
  • welshfella
i 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
  • welshfella
ooops thats wrong - I have 6 angles there 1 only 5 in a pentagon!
Loser66
  • Loser66
and the median is not 61 as well

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

welshfella
  • welshfella
61 is middle angle since its the median
Loser66
  • Loser66
i don't get what "there is only one mod" mean
welshfella
  • welshfella
so we have -- -- 61 -- --
Loser66
  • Loser66
yes, you are right
welshfella
  • welshfella
- i guess one angle occurs twice? or it could occur 3 times?? - thats still only one mod right?
Loser66
  • Loser66
yes, you are right
welshfella
  • welshfella
what if we had 61 , 61,61 how many degrees left? 540 - 183 = 357 so other 2 angles could be 179 and 178
welshfella
  • welshfella
that would fit
welshfella
  • welshfella
61,61,61,178,179
Loser66
  • Loser66
I am pretty sure that the sentence "there is only one mod" has some meaning and it limits the answer. @satellite73
Loser66
  • Loser66
@mathmate @amistre64
Loser66
  • Loser66
@Michele_Laino
welshfella
  • welshfella
- hasn't that list only got one mode?
welshfella
  • welshfella
its an odd question
welshfella
  • welshfella
- 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
Loser66
  • Loser66
@Kainui
anonymous
  • anonymous
Please 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, 540-122= 418 418/3 = 139.33333.. Now something isn't right here or my understanding incorrect
Loser66
  • Loser66
We can turn it into one mode. :) as what welshfella said, it can be 61-61- 61 and n, n 540-3*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
  • anonymous
Loser.. as the name suggest... I am serious here.. need to solve this real quick
Loser66
  • Loser66
Yes, 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
  • anonymous
u 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 mis-guide.. sorry I didn't meant to be rude
welshfella
  • welshfella
what is wrong with my solution? It fits all the requirements

Looking for something else?

Not the answer you are looking for? Search for more explanations.