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Math Expert
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The variables a, b, c, d, and e each represent measures of angles as
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06 Jun 2017, 09:09
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Re: The variables a, b, c, d, and e each represent measures of angles as
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07 Jun 2017, 07:49
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 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
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07 Jun 2017, 08:22
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
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07 Jun 2017, 09:23
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. Sent from my ONE E1003 using GMAT Club Forum mobile app
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Re: The variables a, b, c, d, and e each represent measures of angles as
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08 Jun 2017, 08:02
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. Sent from my ONE E1003 using GMAT Club Forum mobile app+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
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08 Jun 2017, 08:32
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 Sent from my iPhone using GMAT Club Forum
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Re: The variables a, b, c, d, and e each represent measures of angles as
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09 Jun 2017, 04:30



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Re: The variables a, b, c, d, and e each represent measures of angles as
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09 Jun 2017, 05:32
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 = 230180 = 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
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09 Jun 2017, 13:09
Here is my as follows: a+b+c+d equals to 360 so b+c equals to 360230=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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Joined: 06 Jun 2017
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Re: The variables a, b, c, d, and e each represent measures of angles as
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09 Jun 2017, 15:15
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
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09 Jun 2017, 20:13
Answer is A. 1) Given a+d = 230. b = 180a ; c= 180d; e= 180(b+c).
therefore e = 180{(180a) + (180d)} => 180{360(a+d)} => 180{360230} => 180130 => 50. A is sufficient.
2 ) If b=c; then, e=180(b+c) =>1802b or 1802C. Not sufficient.



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Re: The variables a, b, c, d, and e each represent measures of angles as
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28 Aug 2018, 09:39
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