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In the figure, what is the value of x ?

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Bunuel
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In the figure, what is the value of x ? [#permalink] New post   17 Mar 2019, 23:57
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00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:35) correct 19% (01:33) wrong based on 83 sessions
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In the figure, what is the value of x ?

(A) 10°

(B) 30°

(C) 45°

(D) 60°

(E) 75°


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#GREpracticequestion In the figure, what is the.jpg
#GREpracticequestion In the figure, what is the.jpg [ 32.41 KiB | Viewed 3781 times ]
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C
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rickyreign
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Re: In the figure, what is the value of x ? [#permalink] New post   18 Mar 2019, 00:46
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C
Hard to show calculation, but the equation for the lowest triangle looks like this:
180-2x + x + 90-x = 180 (Sum of the angle of a triangle = 180)
x = 45 i.e. C
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Re: In the figure, what is the value of x ? [#permalink] New post   18 Mar 2019, 01:34
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Bunuel wrote:

In the figure, what is the value of x ?

(A) 10°

(B) 30°

(C) 45°

(D) 60°

(E) 75°


Show Spoiler
Attachment:
#GREpracticequestion In the figure, what is the.jpg


solve for figure
we get
180-2x+90-x+x=180
x= 45
IMO C

Bunuel:
please provide official solution how E is correct.
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Bunuel
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Re: In the figure, what is the value of x ? [#permalink] New post   19 Mar 2019, 03:27
Expert Reply
Archit3110 wrote:
Bunuel wrote:

In the figure, what is the value of x ?

(A) 10°

(B) 30°

(C) 45°

(D) 60°

(E) 75°


Show Spoiler
Attachment:
#GREpracticequestion In the figure, what is the.jpg


solve for figure
we get
180-2x+90-x+x=180
x= 45
IMO C

Bunuel:
please provide official solution how E is correct.

___________________________
C is correct edited. Thank you.
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moropa2018
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Re: In the figure, what is the value of x ? [#permalink] New post   09 May 2019, 22:58
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Traingle ABC

Angle BAC= x (Opposite angles)
x+x+angle BCA = 180
Angle BCA=180-2x

Triangle EFG

Angle EFG = x (Opposite angles)
Angle FGE = 90 (Given)
Angle FEG + 90 + x = 180
Angle FEG = 90-x

Triangle CDE
Angle DCE = 180-2x (Since opposite angles, Angle BCA=180-2x)
Angle CED = 90-x (Since opposite angles, Angle FEG = 90-x)
Angle CDE = x (Opposite angles)

180-2x+90-x+x= 180
x=45
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js17
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Re: In the figure, what is the value of x ? [#permalink] New post   24 Jan 2020, 14:06
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from the figure
we get
180-2x+90-x+x=180
x= 45

ans - c
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Re: In the figure, what is the value of x ? [#permalink]
24 Jan 2020, 14:06
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