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Question

In the figure, AOC and BOC form a linear pair. If a2b=30, find a and b.


Solution

Given: AOC and BOC form a linear pair

Therefore,

AOC+BOC=180

a+b=180  [As AOC=a and BOC=b]

a=180b...(i)

Putting the value from (i) in a2b=30, we get,

180b2b=30

3b=150

b=1503=50

Therefore,

a=18050=130

Hence,AOC=130 and BOC=50

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