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In the figure above, x + y =
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31 May 2021, 04:21
31 May 2021, 04:21
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Question Stats:
85% (01:16) correct
14% (00:32) wrong based on 21 sessions
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In the figure above, x + y =
A. 40
B. 120
C. 140
D. 180
E. 220
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: In the figure above, x + y =
[#permalink]
31 May 2021, 05:04
31 May 2021, 05:04
1
Carcass wrote:
In the figure above, x + y =
A. 40
B. 120
C. 140
D. 180
E. 220
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
We know that the top angle must be 40°.
At the same time, let's call the other 2 angles a and b.
We know that a + b + 40 = 180 (since the 3 angles in a triangle must add to 180°)
Also, since angles on a line must add to 180°, we know that: a = 180-y and b = 180-x
We can now take a + b + 40 = 180 and replace a and b with their equivalent values.
We get: (180-y) + (180-x) + 40 = 180
Simplify: 400 - y - x = 180
Subtract 400 from both sides: -y - x = -220
Multiply both sides by -1 to get: x + y = 220
Answer: E
Cheers,
Brent
gmatclubot
Re: In the figure above, x + y = [#permalink]
31 May 2021, 05:04
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