Question

6. In the given figure, angle AOC and angle BOC form a linear pair. Determine the value of x.​

Answer 1

Answer:   ∠AOC and ∠BOC form a linear pair.

∠AOC=a and ∠BOC=b

∴  a+b=180  

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          [ Linear pair ]  ------ ( 1 )

⇒  a−2b=30  

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                              ----- ( 2 )  

Subtracting equation ( 2 ) from ( 1 ) we get,

⇒  3b=150  

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⇒  b=50  

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Substituting value of b in ( 1 ) we get,

⇒  a+50  

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=180  

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∴  a=130  

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