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What is the degree measure of angle a?

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

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New post 23 Nov 2019, 08:57
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

27% (01:37) correct 73% (00:59) wrong based on 11 sessions

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What is the degree measure of angle a? (Figure is attached)

(1) b + c = 287 degrees (2) d + e = 269 degrees
Spoiler: OA

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Angle.png
Angle.png [ 45.03 KiB | Viewed 148 times ]


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Re: What is the degree measure of angle a?  [#permalink]

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New post 23 Nov 2019, 20:10
Raxit85 wrote:
What is the degree measure of angle a? (Figure is attached)

(1) b + c = 287 degrees (2) d + e = 269 degrees


(1) b + c = 287 degrees
Now, b=180-f and c=180-g, so b+c=180-f+180-g=360-(f+g).
Thus 360-(f+g)=287....f+g=360-287=73
But e+f+g=180....f+g=180-e, so 180-e=73....e=107, and a=e=107
Suff

(2) d + e = 269 degrees
d=180-f , so d + e =180-f+e.Nothing much to find a or e
Insuff

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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Re: What is the degree measure of angle a?   [#permalink] 23 Nov 2019, 20:10
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