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Question

In Fig., AOC and BOC form a linear pair. If a2b=30, find a and b.
1669254_b68d7df25c474bef81f7cc56629ded28.png

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Solution

AOC and BOC form a linear pair.
AOC=a and BOC=b
a+b=180o [ Linear pair ] ------ ( 1 )
a2b=30o ----- ( 2 )
Subtracting equation ( 2 ) from ( 1 ) we get,
3b=150o
b=50o
Substituting value of b in ( 1 ) we get,
a+50o=180o
a=130o


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