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Archit3110
Bunuel

In the figure, what is the value of x ?

(A) 10°

(B) 30°

(C) 45°

(D) 60°

(E) 75°


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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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
Attachments

#GREpracticequestion In the figure, what is the.png
#GREpracticequestion In the figure, what is the.png [ 49.85 KiB | Viewed 3539 times ]

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from the figure
we get
180-2x+90-x+x=180
x= 45

ans - c
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