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Question

In the given figure, ABCD is a special quadrilateral in which the sum of its opposite internal angles is 180.
What is the value of FDC, given CBE=130?


A
30
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B
50
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C
75
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D
130
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Solution

The correct option is B 50
Given, CBE=130
CBE+CBA=180 [Linear pair]
CBA=50

Sum of a pair of opposite interior angles in ABCD =180
ABC+ADC=180
ADC=18050 =130

ADC+FDC=180 [Linear pair]
FDC=180130
FDC=50

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