The AOB angle is 150 degrees. Beam OD divides the angle AOB into angles AOD and DOB.

The AOB angle is 150 degrees. Beam OD divides the angle AOB into angles AOD and DOB. The degree measure of the angle AOD is 30 degrees less than the degree measure of the angle AOB. Determine the degree measure of the angle DOB.

To solve this task, you need to make an equation. Let the degree measure of the angle DOB x degrees, then the degree measure of the angle AOD is 30 + x degrees. Knowing that the degree measure of the AOB angle is 150 degrees, we will compose the equation.

x + 30 + x = 150;

2x + 30 = 150;

2x = 150 – 30;

2x = 120;

x = 120/2;

x = 60;

The DOB angle is 60 degrees.

Answer: 60 degrees.