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In the figure, ABC is a right triangle. What is the value of y ?

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In the figure, ABC is a right triangle. What is the value of y ?  [#permalink]

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New post 05 Apr 2019, 01:56
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:20) correct 27% (03:04) wrong based on 15 sessions

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Re: In the figure, ABC is a right triangle. What is the value of y ?  [#permalink]

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New post 05 Apr 2019, 03:21
Bunuel wrote:
Image
In the figure, ABC is a right triangle. What is the value of y ?

(A) 20
(B) 30
(C) 50
(D) 70
(E) 90


Attachment:
2019-04-05_1255.png


In Triangle ABC, x+y+20 = 180 i.e. x+y = 160

Angle ABD = 180 - (20+y) = 160-y = x (we already know that 160-y=x)

i.e. x < y ( as can be seen at point B)

i.e. y = 90 and x = 70 because we know that ABC is right triangle and the largest angle must be 90º

Answer: Option E
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Re: In the figure, ABC is a right triangle. What is the value of y ?  [#permalink]

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New post 05 Apr 2019, 03:46
GMATinsight wrote:
Bunuel wrote:
Image
In the figure, ABC is a right triangle. What is the value of y ?

(A) 20
(B) 30
(C) 50
(D) 70
(E) 90


Attachment:
2019-04-05_1255.png


In Triangle ABC, x+y+20 = 180 i.e. x+y = 160

Angle ABD = 180 - (20+y) = 160-y = x (we already know that 160-y=x)

i.e. x < y ( as can be seen at point B)

i.e. y = 90 and x = 70 because we know that ABC is right triangle and the largest angle must be 90º

Answer: Option E



If angle ABC is given as right triangle, isn't it means angle B = 90 degree and therefore angle y = 90 degree as angle B is marked as Y degree.

Isn't it understood that B is the right angle.
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Re: In the figure, ABC is a right triangle. What is the value of y ?  [#permalink]

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New post 05 Apr 2019, 04:07
AkshdeepS wrote:
GMATinsight wrote:
Bunuel wrote:
Image
In the figure, ABC is a right triangle. What is the value of y ?

(A) 20
(B) 30
(C) 50
(D) 70
(E) 90


Attachment:
2019-04-05_1255.png


In Triangle ABC, x+y+20 = 180 i.e. x+y = 160

Angle ABD = 180 - (20+y) = 160-y = x (we already know that 160-y=x)

i.e. x < y ( as can be seen at point B)

i.e. y = 90 and x = 70 because we know that ABC is right triangle and the largest angle must be 90º

Answer: Option E



If angle ABC is given as right triangle, isn't it means angle B = 90 degree and therefore angle y = 90 degree as angle B is marked as Y degree.

Isn't it understood that B is the right angle.



No it's not understood as figure is not assumed to be drawn as per scale so there is always about which angle is 90º.

We needed to prove that x is smaller than y only then it will be safe to say that y is 90º
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Re: In the figure, ABC is a right triangle. What is the value of y ?   [#permalink] 05 Apr 2019, 04:07
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