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# In the figure, ABCD is a parallelogram. Which one of the following is

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the figure, ABCD is a parallelogram. Which one of the following is  [#permalink]

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09 Oct 2018, 20:54
00:00

Difficulty:

45% (medium)

Question Stats:

53% (01:48) correct 47% (01:48) wrong based on 21 sessions

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In the figure, ABCD is a parallelogram. Which one of the following is true?

(A) x < y
(B) x > q
(C) x > p
(D) y > p
(E) y > q

Attachment:

figure.jpg [ 18.15 KiB | Viewed 390 times ]

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Re: In the figure, ABCD is a parallelogram. Which one of the following is  [#permalink]

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10 Oct 2018, 01:35
Bunuel wrote:

In the figure, ABCD is a parallelogram. Which one of the following is true?

(A) x < y
(B) x > q
(C) x > p
(D) y > p
(E) y > q

Attachment:
figure.jpg

In triangle ABD, Angle ABD = 31º (Parallel Line property)

i.e. x > y Property: the side opposite to the biggest angle is biggest

Also, Since it's a parallelogram therefore, the two triangles, ABD and CDB are Congruent Triangles

i.e. x = q and y = p

Since x > y therefore, x > p

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Re: In the figure, ABCD is a parallelogram. Which one of the following is   [#permalink] 10 Oct 2018, 01:35
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