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Question


In the given figure, sides AB and CD of the quadrilateral ABCD are produced. Find the value of x.

A
75
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B
80
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C
70
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D
65
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Solution

The correct option is B 80

From the figure,
ADE+ADC=180 [Linear pair]
100+ADC=180[ADE=100]
ADC=180100=80

In quadrilateral ABCD
ADC+DAB+ABC+BCD=360
[Sum of all angles of quadrilateral is 360]
80+60+ABC+120=360
ABC+260=360ABC=100

But, ABC+x=180 [Linear pair]
100+x=180
Hence, x=80

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