plzzz find the value of X in the given figure ...................

RATES ASSURED ........

The angles i have solved is in order red then blue then green then brown.

If u will notice the side AB makes 4 variable angles withe the 2 sides of the traingle

(130-x ,10+x, x, 150-x ), This side is a variable.

Hence x will satisfy all values between X = 0 to 130.