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Question

In the figure, BDCE, AC=BC, ABD=200 and ECF=700, Find GAC.
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A
1300
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B
1500
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C
700
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D
1100
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Solution

The correct option is A 1300
Given, BDCE
DBC=ECF (Corresponding angles)
DBG+GBC=ECF
20+GBC=70
GBC=50
In ABC,
BC=AC
ABC=CAB=50 (Isosceles triangle property)
Now, CAB+CAG=180 (Linear pair)
50+CAG=180
CAG=130

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