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23 Nov 2019, 08:57
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:44) correct
30%
(01:47)
wrong
based on 154
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
Attachment:
Angle.png [ 45.03 KiB | Viewed 5174 times ]
23 Nov 2019, 20:10
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Raxit85
(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
A
30 May 2020, 08:22
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This is a Manhattan Question. Below is the OE:
The question asks us to find the degree measure of angle a. Note that a and e are equal since they are vertical angles, so it's also sufficient to find e.
Likewise, you should notice that e + f + g = 180 degrees. Thus, to find e, it is sufficient to find f + g. The question can be rephrased to the following: "What is the value of f + g?"
(1) SUFFICIENT: Statement (1) tells us that b + c = 287 degrees. This information allows us to calculate f + g. More specifically:
b + c = 287
(b + f) + (c + g) = 180 + 180 Two pairs of supplementary angles.
b + c + f + g = 360
287 + f + g = 360
f + g = 73
(2) INSUFFICIENT: Statement (2) tells us that d + e = 269 degrees. Since e = a, this is equivalent to d + a = 269. There are many combinations of d and a that satisfy this constraint, so we cannot determine a unique value for a.
The correct answer is A.
The question asks us to find the degree measure of angle a. Note that a and e are equal since they are vertical angles, so it's also sufficient to find e.
Likewise, you should notice that e + f + g = 180 degrees. Thus, to find e, it is sufficient to find f + g. The question can be rephrased to the following: "What is the value of f + g?"
(1) SUFFICIENT: Statement (1) tells us that b + c = 287 degrees. This information allows us to calculate f + g. More specifically:
b + c = 287
(b + f) + (c + g) = 180 + 180 Two pairs of supplementary angles.
b + c + f + g = 360
287 + f + g = 360
f + g = 73
(2) INSUFFICIENT: Statement (2) tells us that d + e = 269 degrees. Since e = a, this is equivalent to d + a = 269. There are many combinations of d and a that satisfy this constraint, so we cannot determine a unique value for a.
The correct answer is A.
