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In the figure above, if ABCD is a parallelogram, what is the value of
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30 Apr 2023, 23:47
30 Apr 2023, 23:47
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71% (01:09) correct
28% (03:05) wrong based on 7 sessions
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GRE In the figure above, if ABCD is .jpg [ 13.13 KiB | Viewed 1354 times ]
In the figure above, if ABCD is a parallelogram, what is the value of 2y – x?
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Re: In the figure above, if ABCD is a parallelogram, what is the value of
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28 May 2023, 00:39
28 May 2023, 00:39
Expert Reply
OE
GRe parallelogram (3).jpg [ 16.62 KiB | Viewed 1236 times ]
So, ∠DAB + ∠CBA = 180 (Sum of co-interior angles is always 180)
So, (x – y) + (x + y) = 180
2x = 180
x = 90°
From the figure, 150o + ∠DCB = 180o
∠DCB = 30
So, ∠ABC + ∠DCB = 180 (Sum of co-interior angles is always 180)
x + y + 30 = 180
y = 60°
So, 2y – x = 2(60) – 90 = 30
Ans. (30)
Attachment:
GRe parallelogram (3).jpg [ 16.62 KiB | Viewed 1236 times ]
So, ∠DAB + ∠CBA = 180 (Sum of co-interior angles is always 180)
So, (x – y) + (x + y) = 180
2x = 180
x = 90°
From the figure, 150o + ∠DCB = 180o
∠DCB = 30
So, ∠ABC + ∠DCB = 180 (Sum of co-interior angles is always 180)
x + y + 30 = 180
y = 60°
So, 2y – x = 2(60) – 90 = 30
Ans. (30)
gmatclubot
Re: In the figure above, if ABCD is a parallelogram, what is the value of [#permalink]
28 May 2023, 00:39
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