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AB || DC

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beretta
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AB || DC [#permalink] New post   09 May 2023, 03:09
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AB || DC

Quantity A
Quantity B
The length of AD
The length of BC


A: Quantity A is greater.
B:Quantity B is greater.
C:The two quantities are equal
D: The relationship cannot be determined from the information given.
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B
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cristalplume
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Re: AB || DC [#permalink] New post   20 May 2023, 08:04
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Sin(65)=height/AD
AD= height/sin(65)
Also
BC= height/sin(62)
Since sin(65)>sin(62),
Length BC is greater and consequently, Quantity B is greater (option B)

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beretta
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Re: AB || DC [#permalink] New post   22 May 2023, 12:07
can you do it without trigonometry pls
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Re: AB || DC [#permalink] New post   22 May 2023, 13:19
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There is nothing that observation to solve this question in 5 seconds

BC is the opposite side to 65 D angle

AD is opposite to angle C of 62 °

BC must be > than AC
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Nayem117
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Re: AB || DC [#permalink] New post   29 May 2023, 06:37
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Carcass wrote:
There is nothing that observation to solve this question in 5 seconds

BC is the opposite side to 65 D angle

AD is opposite to angle C of 62 °

BC must be > than AC


But, A is 115° and B is 118°. BC is also opposite to A and AD is also opposite to B.
This way, AC > BC.
I don't understand which angle should I consider as opposite angle.

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swordypordy
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Re: AB || DC [#permalink] New post   11 Nov 2024, 02:38
Generate a test case AD parallel to BC.
ADC = 90 degrees and BCD is 45 degrees.

Observe and you realize, small the angle greater the length
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Re: AB || DC [#permalink]
11 Nov 2024, 02:38
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