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

Question

https://gmatclub.com/forum/download/file.php?id=35643 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 abcde.png

Luckisnoexcuse · Answer

Bunuel  i think image was not uploaded properly

leeum · Answer

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.

arvind910619 · Answer

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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mohshu · Answer

+1 for A

E+B+C = 180 
substituting in the equation will the answer

Luckisnoexcuse · Answer

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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Bunuel · Answer

_________________
Edited. Thank you.

Jk8269 · Answer

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

sisirkant · Answer

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

ripinpeace · Answer

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

JTR · Answer

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.

bumpbot · Answer

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

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