The AOK angle is 36 degrees less than the KOB angle, and they add up to 120 degrees. find the values of these angles.

1. Let the angle AOK be equal to x⁰.

2. Find the degree measure of the angle KOB.

(x + 36) degrees.

3. Find the sum of these angles by adding their values.

x + x + 36 = 2x + 36 is the sum of these angles, and according to the condition of the problem 120⁰.

4. Let’s compose and solve the equation.

2x + 36 = 120;

2x = 120 – 36;

2x = 84;

x = 84/2;

x = 42 degree measure of the AOK angle.

5. Find the degree measure of the angle KOB.

42 + 36 = 78⁰ angle KOB.

Answer: 42⁰; 78⁰.