The value of 'x' is

The correct answer is Option (2) → 60

Each marked angle lies between one side of the quadrilateral and the next side extended, so all four are exterior angles, one at each corner. The exterior angles of any polygon add up to 360°, because walking once round the figure turns you through one full turn.

• Sum of the four exterior angles: \(50+2x+100+(x+30)=360\)

• \(3x+180=360\)

• \(3x=180\), so \(x=60\)