The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360^(∘).
In this case, expressions are given for the measures of the exterior angles. We can write an equation where the sum of these expressions is equal to 360^(∘).
(x - 10) + (x + 15) + 106 + (2x - 35) = 360
Let's solve for x.