A circle is divided into three unequal sectors. One of the sectors has (x+40) degrees, the second sector has (2x+60) degrees, while the third sector has (3x+20) degrees. What is the value for x?
(x + 40) + (2x + 60) + (3x + 20) = 360
6x + 120 = 360
6x = 360 - 120
6x = 240
x = 40