Question

How do you do this , I have been trying and trying

Answer 1

The value of x is 78° .

Explanation:

Given as :

Two lines AB and CD are intersecting at point O

Another line is MO

From figure

∠AOC = 24°

∠AOM = x°

∠DOM = x°

∵ COD is a straight line

And The sum of ∠AOC + ∠AOM + ∠DOM = 180°

I.e 24°+ x° + x° = 180°

Or, 24°+ 2 x° = 180°

Or, 2 x° = 180° - 24°

Or, 2 x = 156°

∴ x =
`(156^(\circ))/(2)`

i.e x = 78°

So, The value of x = 78°

Hence, The value of x is 78° . Answer