The value of x is option a) 2.
The given diagram is a irregular polygon with 4 sides. The sum of all the angles U, V, S, T is equal to 360.
=> ∠u +∠v +∠s + ∠t = 360
=> 106° + 63° + 53x° + 85° = 360
=> 53x + 254 = 360
=> 53x = 360 - 254
=> 53x = 106 => x = 106 / 53 => x = 2
∴ x = 2 is the answer