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Question

In the figure(not drawn to scale), ABCD is a rectangle, FA=FG, AGE and BGF are straight lines. Find x+y.
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A
145o
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B
124o
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C
210o
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D
116o
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Solution

The correct option is C 124o
In given figure ABCD is a rectangle, FA = FG, AGE and BGF are straight lines.
DAF=20 [Given]
ADF=90 [All four angle of rectangle is 90]
So, DFA=180(20+90)=70
As DFC and AB are parallel then,
DFC=FAB=70
DA and CEB are parallel
So, BEA=EAD=74
So, FAG=7020=54
FAG=FGA=54 [FAG is isosceles triangle.]
So, x=180(54+54)
x=72
Again AGF=BGE=54
So, y=180128=52
x+y=72+52=124


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