In the adjoining figure, what value of x will make AOB a straight line?

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Solution

AOB will be a straight line if
$3 x + 20 + 4 x - 36 = 180 ° \Rightarrow 7 x = 196 ° \Rightarrow x = 28 °$
Hence, x = 28 will make AOB a straight line.

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