In the given figure, what value of x will make AOB a line?
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We know that AOB will be a straight line only if the adjacent angles form a linear pair.
∠BOC + ∠AOC = 180
By substituting the values we get
(4x – 36) + (3x + 20) = 180
4x - 36 + 3x + 20 = 180
On further calculation we get
7x = 180 - 20 + 36
7x = 196
By division we get
x = 196/7
x = 28
Therefore, the value of x is 28.
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