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605-655 (Medium)|   Geometry|      
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Berbatov
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What is the degree measure of angle a in the figure above? Updated on: 12 Feb 2019, 06:01
Originally posted by Berbatov on 26 Aug 2011, 01:31.
Last edited by Bunuel on 12 Feb 2019, 06:01, edited 3 times in total.
Renamed the topic, edited the question and added the OA.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

66% (01:58) correct 34% (02:09) wrong based on 462 sessions

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Not Attempted Yet


What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Show SpoilerMy take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...

Show Spoiler
Attachment:
triangle.jpg
triangle.jpg [ 26.05 KiB | Viewed 27146 times ]
ShowHide Answer
Official Answer
B
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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Raghava747
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What is the degree measure of angle a in the figure above? 26 Aug 2011, 02:57
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Hello,
I guess its B. Please provide OA

Here's my explanaition

given
b + c = 295
180 - f + 180 - g = 295
360 - (f+g) = 295
360 - (180 -e) = 295
180 + e = 295
e = 115
hence a = 115 (vertically opposite angles)

Hope this helps.

Consider Kudos if You could understand my explanation :-D
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jamifahad
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What is the degree measure of angle a in the figure above? 26 Aug 2011, 02:59
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<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B
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Avinashs87
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What is the degree measure of angle a in the figure above? 21 Jul 2015, 23:29
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Berbatov


What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Show SpoilerMy take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...

Show Spoiler
Attachment:
triangle.jpg
Show more


Bunuel...Why cant I draw a ll line to the base of the triangle and have d=e?

Avinash
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Bunuel
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What is the degree measure of angle a in the figure above? 22 Jul 2015, 00:50
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Avinashs87
Berbatov


What is the degree measure of angle a in the figure above?

(1) d + e = 275°
(2) b + c = 295°

Show SpoilerMy take
Should be E. I can create an equation with both 1 and 2 that only includes e (which is also a) but the final step is 180 = 2e +180, so everything collapses...

Show Spoiler
Attachment:
The attachment triangle.jpg is no longer available


Bunuel...Why cant I draw a ll line to the base of the triangle and have d=e?

Avinash
Show more

For angle d to be equal to angle e below red lines must be parallel, which is not possible since we won't have a triangle in this case:
Attachment:
Untitled.png
Untitled.png [ 11.94 KiB | Viewed 22582 times ]

Check this: https://www.mathopenref.com/transversal.html
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Avinashs87
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What is the degree measure of angle a in the figure above? 22 Jul 2015, 02:22
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Yeah...My bad. I understand now.
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MrJglass
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What is the degree measure of angle a in the figure above? 21 Jun 2018, 10:27
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jamifahad
<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B
Show more

I was about to ask how we knew that b+c = 180
Thanks for the explanation.

Posted from my mobile device
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vivapopo
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What is the degree measure of angle a in the figure above? 01 Jul 2018, 08:05
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MrJglass
jamifahad
<a = <e
Stmt1: d+e=275
e=275-d
We don't know d. Not Sufficient.

Stmt2: b+c=295
b+f=180
c+g=180
Adding, b+c+f+g=360
295+f+g=360
f+g=65
e+f+g=180
e=180-65= 115
a=115
Sufficient.

OA B

I was about to ask how we knew that b+c = 180
Thanks for the explanation.

Posted from my mobile device
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the sum of the angles in a triangle is 180 degrees. Theorem. If ABC is a triangle then <)ABC + <)BCA + <)CAB = 180 degrees
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Shrihari12
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What is the degree measure of angle a in the figure above? 27 Jul 2021, 07:03
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Hi Bunuel.

can we solve this by taking <a, <d and <c as exterior angles of a triangle and take sun of two interior angles as their values and then proceed?

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