All the angles make a full circle which needs to equal 360 degrees.
Add all the angles together to equal 360:
X + (x-10) + (4x-20) +(2x-10) + (x +10) = 360
Combine like terms:
9x -30 = 360
Add 30 to both sides:
9x = 390
Divide both sides by 9:
X = 390/9
X = 43.3333. ( 43 and 1/3)