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Question

In the figure above, If ABCD, then FXE is equal to
332578.png

A
30
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B
50
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C
70
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D
80
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Solution

The correct option is D 80
FEX=180(100+30)[Linear pair]
FEX=180=180140=40
Note FED=FEX+XED
AFE=FED [Corresponding]
AFE=FEX+XED=40+30=70 [From Note]
EFX=180(AFE+XFB) [Linear pair]
=180(70+50)=180120=60
FXE=180(EFX+XEF)
[Angle sum property of a ]
=180(60+40)=180100=80

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