Find adjacent angles if their difference is 40 degrees.

1. ∠ABO and ∠VOS are adjacent.

2. We take the value ABO for x, the value ∠BOC for y.

3. Let’s compose two equations:

x + y = 180 ° (according to the property of adjacent angles);

x – y = 40 ° (according to the problem statement);

4. Adding these equations, we get one equation with one unknown:

2x = 220 °;

x = 110 °.

5. Substitute x = 110 ° into the first equation:

110 ° + y = 180 °;

y = 180 ° – 110 ° = 70 °.

∠ABO = 110 °.

∠VOS = 70 °.

Answer: the degree measure ∠ABO is equal to 110 °, the degree measure of the adjacent ∠BOC = 70 °.