Question

Find the value of x for which AB will be a straight line

11
6x + 30°
4xº
B​

Answer 1

Answer:

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Step-by-step explanation:

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.