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# Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu

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Math Expert
Joined: 02 Sep 2009
Posts: 58116
Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu  [#permalink]

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19 Oct 2016, 09:06
00:00

Difficulty:

65% (hard)

Question Stats:

54% (02:13) correct 46% (02:34) wrong based on 72 sessions

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Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acute. What is ∠AMD ?

A. 90°−y
B. 180°−y
C. 90°+y
D. 2y
E. y

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Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is  [#permalink]

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20 Oct 2016, 06:50
1
rohit8865 wrote:
Bunuel wrote:
Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acute. What is ∠AMD ?

A. 90°−y
B. 180°−y
C. 90°+y
D. 2y
E. y

Let AMD=x

Ans B

We are given ∠BMC=y° is acute and in the diagram you have made this angle is Obtuse. Please recheck.

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Posts: 1009
Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu  [#permalink]

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Updated on: 20 Oct 2016, 07:47
Bunuel wrote:
Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acute. What is ∠AMD ?

A. 90°−y
B. 180°−y
C. 90°+y
D. 2y
E. y

Let AMD=x

Ans E
Attachments

111.png [ 9.09 KiB | Viewed 1485 times ]

Originally posted by rohit8865 on 19 Oct 2016, 10:22.
Last edited by rohit8865 on 20 Oct 2016, 07:47, edited 1 time in total.
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Re: Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu  [#permalink]

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19 Oct 2016, 23:52
(refer attached file for drawing)

LAMB = 90
LCMB = y

so, LAMC = 90-y

and since LDMC = 90

LDMA = 90 - (90-y) = y
Attachments

Untitled.jpg [ 8.45 KiB | Viewed 1524 times ]

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Re: Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu  [#permalink]

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20 Oct 2016, 07:49
abhimahna wrote:
rohit8865 wrote:
Bunuel wrote:
Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acute. What is ∠AMD ?

A. 90°−y
B. 180°−y
C. 90°+y
D. 2y
E. y

Let AMD=x

Ans B

We are given ∠BMC=y° is acute and in the diagram you have made this angle is Obtuse. Please recheck.

Missed the part y=acute ....anyway updated

thnx...
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Posts: 12559
Re: Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu  [#permalink]

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08 Aug 2019, 22:52
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Re: Angles AMB and CMD are right angles, ∠AMD is acute, and ∠BMC=y° is acu   [#permalink] 08 Aug 2019, 22:52
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