It is known that the angle AOB = 10 degrees, the angle BOC = 20 degrees, the angle COD = 40 degrees.

It is known that the angle AOB = 10 degrees, the angle BOC = 20 degrees, the angle COD = 40 degrees. Which of the following values can the AOD angle have?

Note that the setting conditions for its full and specific solution are not sufficient: do the points O, A, B, C and D lie on the same plane? if this task relates to planimetry, what direction is taken when measuring these angles ?; in the task, what “reduced” values are we talking about?
Let’s consider: all of the listed angles lie on the same plane.
We summarize the degree measures of the angles: 10 ° + 20 ° + 40 ° = 70 °.
Answer: Either 70 °, or 360 ° – 70 ° = 290 ° (opposite direction), or even (–290 °).