What value of $x$ will make $A O B$ a straight line ?

30

^{\circ}

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50

^{\circ}

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49

^{\circ}

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none of these

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Solution

The correct option is B $50$ $^{\circ}$
If $A O B$ is straight line, then
$2 x + 30 + 2 x - 50 = 180$
$\Rightarrow 4 x = 200$
$\Rightarrow x = 50$

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