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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 75% (01:17) correct 25% (01:22) wrong based on 140 sessions

HideShow timer Statistics The variables a, b, c, d, and e each represent measures of angles as outlined in the figure above. What is the measure of angle e?

(1) a + d = 230

(2) b = c

Attachment: abcde.png [ 7.83 KiB | Viewed 2614 times ]

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Current Student P
Joined: 18 Aug 2016
Posts: 603
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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1
1
Bunuel wrote:
The variables a, b, c, d, and e each represent measures of angles as outlined in the figure above. What is the measure of angle e?

(1) a + d = 230

(2) b = c

Attachment:
abcde.png

Bunuel i think image was not uploaded properly
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Luckisnoexcuse
Intern  B
Joined: 30 May 2017
Posts: 10
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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I think the answer is C.

Statement 1 doesn't necessarily tell us anything unless we know b=c, which we can't assume. Insufficient

Statement 2 tells us b=c, which means a+b=180 and c+d = 180. Insufficient

Taken together, we can solve for e.
VP  D
Status: Learning
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Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36 GRE 1: Q157 V157 GPA: 3.4
WE: Engineering (Manufacturing)
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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2
Imo A
We can use exterior angle property of triangles to find out the value of angle E
A=E+C
D=E+B
Adding together we have 230=2E+C+B
But we know from triangle property that sum of three angles is 180 hence the value of angle is 50.

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Director  S
Joined: 21 Mar 2016
Posts: 505
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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arvind910619 wrote:
Imo A
We can use exterior angle property of triangles to find out the value of angle E
A=E+C
D=E+B
Adding together we have 230=2E+C+B
But we know from triangle property that sum of three angles is 180 hence the value of angle is 50.

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+1 for A

E+B+C = 180
substituting in the equation will the answer
Current Student P
Joined: 18 Aug 2016
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GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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I will also go with A sum of internal angles of triangle is 180 and sum of two angles on a straight line is also 180

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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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mynamegoeson wrote:
Bunuel wrote:
The variables a, b, c, d, and e each represent measures of angles as outlined in the figure above. What is the measure of angle e?

(1) a + d = 230

(2) b = c

Attachment:
abcde.png

Bunuel i think image was not uploaded properly

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Intern  B
Joined: 03 Aug 2016
Posts: 28
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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I vote for A.

From 1, we know a+d = 230,
here we can write a = e + c and d = b +e
so now equation turns to : e+c + b+e = 230
implies e+180 = 230 (since we know b+c+e =180)
so e = 230-180 = 50
Statment 2 is not useful to deduct e
Intern  B
Joined: 29 Aug 2015
Posts: 16
GMAT 1: 550 Q44 V22 Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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Here is my as follows:
a+b+c+d equals to 360
so b+c equals to 360-230=130

e+b+c= 180
=> e = 180 - (b+c) = 50

So A is sufficient

And now with b=c, we can not deduce anything. So b=c is not insufficient.

My Answer is A
Intern  Joined: 06 Jun 2017
Posts: 1
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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A tells us the angle of the bottom two.

B means it could be any {1,1,178}{2,2,176} etc
Intern  B
Joined: 31 Dec 2012
Posts: 11
Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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1) Given a+d = 230.
b = 180-a ; c= 180-d; e= 180-(b+c).

therefore e = 180-{(180-a) + (180-d)} => 180-{360-(a+d)} => 180-{360-230} => 180-130 => 50. A is sufficient.

2 ) If b=c; then, e=180-(b+c) =>180-2b or 180-2C. Not sufficient.
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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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_________________ Re: The variables a, b, c, d, and e each represent measures of angles as   [#permalink] 28 Aug 2018, 10:39
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