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We know that AOB will be a straight line only if the adjacent angles form a linear pair. ∠BOC + ∠AOC = 180o By substituting the values we get (4x – 36)o + (3x + 20)o = 180o 4x – 36o + 3x + 20o = 180o On further calculation we get 7x = 180o – 20o + 36o 7x = 196o By division we get x = 196/7 x = 28 Therefore, the value of x is 28.Read more on Sarthaks.com - https://www.sarthaks.com/716785/in-the-adjoining-figure-what-value-of-x-will-make-aob-a-straight-line
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the answer is 30 degree.
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