Inside the unfolded angle AOB, two rays OD and OC are projected so that the angle AOC = 130 degrees

Inside the unfolded angle AOB, two rays OD and OC are projected so that the angle AOC = 130 degrees and the angle DOB = 120 degrees find the angle DOC.

The swept angle AOB is 180 degrees, and the OC beam divides this angle into two adjacent angles AOC and BOC. The value of the angle is known and equals 130 degrees, then the angle BOC = 180 – 130 = 50 degrees.

The OD beam also divides the flat angle into two adjacent angles BOD = 120 degrees and AOD = 180 – 120 = 60 degrees.

Then, the value of the angle DOC is found as follows: AOB – BOC – AOD = 180 – 50 – 60 = 70 degrees.

Answer: 70 degrees.