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Question

In the given figure, find a+b+c+d.


  1. 180

  2. 360

  3. 100

  4. 210


Solution

The correct option is B

360


In the quadrilateral PQRS,
P+Q+R+S=360
120+80+60+S=360
S=100

P+extP=180 [Linear Pair]
120+a=180
a=60
Similarly,

Q+extQ=180 [Linear Pair]
80+b=180
a=100

And,
R+extR=180 [Linear Pair]
60+c=180
a=120

S+extS=180 [Linear Pair]
100+d=180
d=80

a+b+c+d=60+100+120+80

a+b+c+d=360

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