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From the figure, which one of the following could be the val

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From the figure, which one of the following could be the val [#permalink] New post   30 Sep 2018, 01:21
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From the figure, which one of the following could be the value of b ?

(A) 20
(B) 30
(C) 60
(D) 75
(E) 90
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C
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shivankkhanna
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Re: From the figure, which one of the following could be the val [#permalink] New post   01 Oct 2018, 04:18
solution pls??
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Re: From the figure, which one of the following could be the val [#permalink] New post   01 Oct 2018, 05:38
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ADD all and equal to 360. You get the value of a as 72. After this, put this value of a and answer choices value of b in given angle in figure. Only angle that gives positive angle after inserting value of a as 72 is answer. Only a=72 and b=60 gives the positive results. so b should be 60. Any questions are entertained.
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Re: From the figure, which one of the following could be the val [#permalink] New post   17 Nov 2018, 20:45
surenaryal32 wrote:
ADD all and equal to 360. You get the value of a as 72. After this, put this value of a and answer choices value of b in given angle in figure. Only angle that gives positive angle after inserting value of a as 72 is answer. Only a=72 and b=60 gives the positive results. so b should be 60. Any questions are entertained.


What about answer choices 20 and 30 ?
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Re: From the figure, which one of the following could be the val [#permalink] New post   18 Nov 2018, 09:03
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AE wrote:
surenaryal32 wrote:
ADD all and equal to 360. You get the value of a as 72. After this, put this value of a and answer choices value of b in given angle in figure. Only angle that gives positive angle after inserting value of a as 72 is answer. Only a=72 and b=60 gives the positive results. so b should be 60. Any questions are entertained.


What about answer choices 20 and 30 ?



We get after addition of all angles 5a=360, \(a=\frac{360}{5}=72\)..
let us check for the value of b..
1) minimum value..
we have one angle as \(b-\frac{a}{2}\), now these has to atleast 0..
so \(b-\frac{a}{2}=0........b-36=0.....b=36\)
2) Max value
2a-2b is an angle, so 2a - 2b = 0...a=b=72

Range = 36<b<72

Only 60 falls in the range

C
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Re: From the figure, which one of the following could be the val [#permalink] New post   13 Dec 2018, 14:53
chetan2u wrote:
AE wrote:
surenaryal32 wrote:
ADD all and equal to 360. You get the value of a as 72. After this, put this value of a and answer choices value of b in given angle in figure. Only angle that gives positive angle after inserting value of a as 72 is answer. Only a=72 and b=60 gives the positive results. so b should be 60. Any questions are entertained.


What about answer choices 20 and 30 ?



We get after addition of all angles 5a=360, \(a=\frac{360}{5}=72\)..
let us check for the value of b..
1) minimum value..
we have one angle as \(b-\frac{a}{2}\), now these has to atleast 0..
so \(b-\frac{a}{2}=0........b-36=0.....b=36\)
2) Max value
2a-2b is an angle, so 2a - 2b = 0...a=b=72

Range = 36<b<72

Only 60 falls in the range

C


Can't the maximum value of b be obtained by considering 2a-b = 0 then b = 2a = 2(72) ?
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Re: From the figure, which one of the following could be the val [#permalink] New post   12 Aug 2022, 04:53
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Re: From the figure, which one of the following could be the val [#permalink]
12 Aug 2022, 04:53
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