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In the figure, ABCD is a parallelogram. Which one of the fol
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01 Oct 2018, 13:41
01 Oct 2018, 13:41
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75% (01:33) correct
25% (01:43) wrong based on 32 sessions
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#GREpracticequestin In the figure, ABCD is a parallelogram.jpg [ 18.15 KiB | Viewed 8339 times ]
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
Re: In the figure, ABCD is a parallelogram. Which one of the fol
[#permalink]
14 Jan 2019, 07:30
14 Jan 2019, 07:30
2
ABCD is a parallelogram. So, 1) Opposite sides are equal. i.e. x = q and y = p
2) Opposite angles are equal. i.e. <ADC = <ABC and <BCD = DAB
In parallelogram, consecutive angles add upto 180° ,
So, 30° + 31° + <BCD = 180°
< BCD = 180° - 30° - 31°
= 119°
In triangle BCD,
<CBD = 180° - 31° - 119°
= 30°
In any triangle,
Shortest side is opposite the smallest angle.
So, p < q or, p < x which means x > p.
Hence, answer is C.
2) Opposite angles are equal. i.e. <ADC = <ABC and <BCD = DAB
In parallelogram, consecutive angles add upto 180° ,
So, 30° + 31° + <BCD = 180°
< BCD = 180° - 30° - 31°
= 119°
In triangle BCD,
<CBD = 180° - 31° - 119°
= 30°
In any triangle,
Shortest side is opposite the smallest angle.
So, p < q or, p < x which means x > p.
Hence, answer is C.
Re: In the figure, ABCD is a parallelogram. Which one of the fol
[#permalink]
17 Feb 2022, 19:52
17 Feb 2022, 19:52
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