Answer:
20, 40, and 120
Step-by-step explanation:
x, 2x, and 6x have one thing in common: X. X is the same number throughout so if we find x we can just finish the equation by multiplying x by its coefficient.
x+2x+6x = 180. (Sum of angle measures)
9x = 180 (Add up the left side)
9x/9 = 180/9 (Divide both sides by 9 to cancel out the 9 and leave the x)
x = 20
Now we know what x is so:
Angle 1 = 20. (We know x is 20, so that one is easy.)
Angle 2 = 40 (Simply 2*x or 2*20)
Angle 3 = 120 (Simply 6*x or 6*20)