Question

in the given figure , what the value of x will make AOB a strait line​

Answer 1

Answer:

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.