11. In Figure 1, OA and OB are opposite rays. If x = 42º, what is the value of y? In Figure 2, ZAOC and ZBOC form a linear pair. Determine the measures of AOC and BOC. please send ans fast please send
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35° is the correct value
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Correct option is
A
a=130
∘
,b=50
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∠AOC and ∠BOC form a linear pair.
∠AOC=a and ∠BOC=b
∴ a+b=180
o
[ 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
o
∴ a=130
o
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