An outside angle is equal to the sum of the two opposite inside angles.
Set up the equation to get:
6x = (x+40) + (3x+10)
Simplify the right side:
6x = 4x + 50
Subtract 4x from both sides:
2x = 50
Divide both sides by 2:
x = 50/2
x = 25
Now you have X you can solve for each angle:
6x = 6*25 = 150
(x+40) = 25 + 40 = 65
(3x +10) = 3(25) +10 = 75 + 10 = 85