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

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What is the degree measure of angle a in the figure above? [#permalink]

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New post 26 Aug 2011, 00:31
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  65% (hard)

Question Stats:

51% (01:11) correct 49% (00:57) wrong based on 290 sessions

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

(1) d + e = 275°
(2) b + c = 295°

[Reveal] Spoiler: My 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...


[Reveal] Spoiler:
Attachment:
triangle.jpg
triangle.jpg [ 26.05 KiB | Viewed 8826 times ]
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Jun 2014, 06:55, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 26 Aug 2011, 01:57
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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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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 26 Aug 2011, 01:59
<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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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 25 Jun 2014, 06:36
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 16 Aug 2014, 02:24
We can also use the exterior angle property to solve this question

Statement 1
No matter what we do, we can't solve for a

Statement 2
<b=<e+<g-----------------------(1)
<c=<e+<f------------------------(2)

Combining (1) & (2)
<b+<c=2<e+<f+<g
we know that <b+<c=295
295=2<e+<f+<g
295=<e+180
<e=115=<a (vertical angles)
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 21 Jul 2015, 22:29
Berbatov wrote:
Image

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

(1) d + e = 275°
(2) b + c = 295°

[Reveal] Spoiler: My 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...


[Reveal] Spoiler:
Attachment:
triangle.jpg



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

Avinash
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 21 Jul 2015, 23:50
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Expert's post
Avinashs87 wrote:
Berbatov wrote:
Image

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

(1) d + e = 275°
(2) b + c = 295°

[Reveal] Spoiler: My 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...


[Reveal] 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


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 6054 times ]


Check this: http://www.mathopenref.com/transversal.html
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 22 Jul 2015, 01:22
Yeah...My bad. I understand now.
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Re: What is the degree measure of angle a in the figure above? [#permalink]

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New post 29 Mar 2017, 12:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the degree measure of angle a in the figure above?   [#permalink] 29 Mar 2017, 12:44
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