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The variables a, b, c, d, and e each represent measures of angles as

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The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 06 Jun 2017, 10:09
00:00
A
B
C
D
E

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  45% (medium)

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69% (00:57) correct 31% (01:27) wrong based on 121 sessions

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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


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abcde.png
abcde.png [ 7.83 KiB | Viewed 1709 times ]

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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 07 Jun 2017, 08:49
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1
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=35643[img]
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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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 07 Jun 2017, 09:22
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.
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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 07 Jun 2017, 10:23
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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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 08 Jun 2017, 09:02
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
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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 08 Jun 2017, 09:32
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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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 09 Jun 2017, 05:30
mynamegoeson wrote:
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=35643[img]
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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Edited. Thank you.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 09 Jun 2017, 06:32
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
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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 09 Jun 2017, 14:09
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
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Re: The variables a, b, c, d, and e each represent measures of angles as  [#permalink]

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New post 09 Jun 2017, 16:15
Answer is A.

A tells us the angle of the bottom two.

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

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New post 09 Jun 2017, 21:13
Answer is A.
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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