The OD beam divides the angle AOB into two angles. angle AOB = 120 degrees

The OD beam divides the angle AOB into two angles. angle AOB = 120 degrees, angle AOD is 16 degrees less than the angle DOB. Find the corner DOB.

1. Let’s denote the degree measure of the angle AOD through x.

2. Determine the degree measure of the angle DOB:

(x + 16˚).

3. Since the angle AOB = angle AOD + angle DOB, compose and solve the equation:

(x + 16˚) + x = 120˚;

x + 16˚ + x = 120˚;

2x + 16˚ = 120˚;

2x = 120˚ – 16˚;

2x = 104˚;

x = 104˚: 2;

x = 52˚.

4. The degree measure of the angle AOD is x = 52˚.

5. What is the degree measure of the DOB angle?

x + 16˚ = 52˚ + 16˚ = 68˚.

Answer: The degree measure of the DOB angle is 68˚.