The sum of interior angles of a hexagon is 720°.
.. x +150 +(2x -50) +(x +40) +80 +(x +20) = 720
.. 5x +240 = 720 . . . . . . . . simplify
.. 5x = 480 . . . . . . . . . . . . . subtract 240
.. x = 96 . . . . . . . . . . . . . . . .divide by 5
The angles (clockwise from lower left) are
.. 96°
.. 150°
.. 142°
.. 136°
.. 80°
.. 116°