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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:05:13 IST
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The angles of a polygon are in AP with common difference 5 degrees . The smallest angle is 120 degree. Find the no. of sides in the polygon.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:23:27 IST
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Arre isme kya hai? The formula of the sum of angles of any polygon is = 180(n-2) where n is the no of sides. Now the no. of sides=no of angles. Hence equate the sum of angles by the 2 formulas- AP's sum and the formula I gave you.
n/2[240 + (n-1)5] = 180(n-2)
You will get the value of n.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:27:45 IST
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There is some thing. Find the final answer and I'll let u know
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:32:33 IST
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clearly no. of sides = no. of angles largest angle possible = 175 using AP formula tn = a + ( n - 1 ) X d 175 = 120 + ( n - 1 ) X 5 n - 1 = 11 hence n = 12 no.of sides = 12
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:48:51 IST
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I am getting n=16,9
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
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Posts:
Can marks really judge a student??
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Dec 2007 23:55:52 IST
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Chetan_kp, ur logic that no angle in a polygon can be greater than 180 is wrong. look at the figure, it is a polygon and angle A in more than 180.
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
http://tarinbansal.blogspot.com/
Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)
Back to goiit, this time with Baby Veerappan. :D |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:03:45 IST
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Wat's the trick U were talking about?
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
http://tarinbansal.blogspot.com/
Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)
Back to goiit, this time with Baby Veerappan. :D |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:10:07 IST
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A polygon cannot have an angle equal to 180 degree.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:11:59 IST
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Oh yes. U R right. So the answer shud be either 15 or 8. Isn't it?
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
http://tarinbansal.blogspot.com/
Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)
Back to goiit, this time with Baby Veerappan. :D |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:12:36 IST
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Its a X class question and I forgot this point while solving it. Silly me.
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
http://tarinbansal.blogspot.com/
Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)
Back to goiit, this time with Baby Veerappan. :D |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:17:10 IST
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@ tarin How did u get 15, 8 ? Its not ur silly mistake , its a tricky question.
The answer is 9 only . If it has 16 sides , then the angles are 120, 125,.....180, 185, 190, 195 . But a polygon cannot have an angle equal to 180.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 00:20:22 IST
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Oh ya. Again a silly mistake. Oh god. Actually I did this question when I was in X. I think I must think a little more before solving these type of questions.
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The quality of a person's life is in direct proportion to their commitment to excellence, regardless of their chosen field of endeavor.
It is during our darkest moments that we must focus to see the light.
Check out my blog at:
http://tarinbansal.blogspot.com/
Posts:
Can marks really judge a student??
Some myths about Chemical Engineering.
(A must see for every student)
Back to goiit, this time with Baby Veerappan. :D |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Dec 2007 02:57:25 IST
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Hello  let the no. of sides = n , sum of interior angles = Sn = (2n-4).90 first term (angle , a) = 120o , d = 5o Sn = (n/2) [2.120 + (n-1).5] so (2n-4).90 = (n/2)[240 + 5(n-1)] (2n-4).180 = n(5n + 535) solve this....u will get an =n n2 -25n + 144 = 0 (n-16)(n-9) = 0 n = 16 OR 9  if n = 16....the last angle , a + (n-1)d = 120 + 15.5 = 195 its nt possible... so n = 9 HOPE THIS HELPS :)
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