From the vertex of the right angle AOB, two rays OC and OD are drawn so that AOD

From the vertex of the right angle AOB, two rays OC and OD are drawn so that AOD = 74 degrees, BOC = 66 degrees. Calculate the value of the COD angle.

The conditionally given angle AOB is straight, that is, it is equal to 90 degrees. The AOD is 74 degrees, so the DOB is 90 – 74 = 16 degrees. According to the condition of the task, the BOC angle is 66 degrees. Thus, the COD angle is the difference between the BOC angle and the DOB angle: 60 – 16 = 50 degrees.

The second solution: the AOC angle is 90 – 66 = 24 and the COD angle is 74 – 24 = 50 degrees.

Answer: The angle COD formed by the two beams OC and OD between the sides of the right angle AOB is 50 degrees.