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In the figure, if y = 60, then what is the value of z ?
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24 Mar 2019, 00:34
24 Mar 2019, 00:34
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83% (01:49) correct
16% (03:11) wrong based on 62 sessions
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#GREpracticequestion In the figure, if y = 60.jpg [ 27.57 KiB | Viewed 8280 times ]
In the figure, if y = 60, then what is the value of z ?
(A) 20
(B) 30
(C) 55
(D) 75
(E) 90
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Joined: 10 Apr 2015
Posts: 6218
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In the figure, if y = 60, then what is the value of z ?
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23 Apr 2019, 06:43
23 Apr 2019, 06:43
3
Carcass wrote:
Attachment:
#GREpracticequestion In the figure, if y = 60.jpg
In the figure, if y = 60, then what is the value of z ?
(A) 20
(B) 30
(C) 55
(D) 75
(E) 90
We're told that y = 60°
Since opposite angles are equal, we can add another 60° angle.
Since all 3 angles must add to 180°, we know the 3rd angle in the triangles is 30°
So, it's opposite angle must also be 30°
Since opposite angles are equal, this other angle must be z°
Let's let the 3rd angle in the triangles be k°
Now look at the RED and BLUE triangles.
From the RED triangle, we can conclude that k + x + z = 180 (since all 3 angles must add to 180°)
From the BLUE triangle, we can conclude that k + x + 30 = 180 (since all 3 angles must add to 180°)
Subtract the bottom equation from the top equation to get: z - 30 = 0
So, it must be the case that z = 30
Answer: B
Cheers,
Brent
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Re: In the figure, if y = 60, then what is the value of z ?
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14 Aug 2022, 03:51
14 Aug 2022, 03:51
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