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

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

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

Answer»

We know that AOB will be a straight line only if the adjacent angles form a linear pair.

∠BOC + ∠AOC = 180^o

By substituting the values we get

(4x – 36)^o + (3x + 20)^o = 180^o

4x – 36^o + 3x + 20^o = 180^o

On further calculation we get

7x = 180^o – 20^o + 36^o

7x = 196^o

By division we get

x = 196/7

x = 28

Therefore, the value of x is 28.