Two given angles are related as 1: 3, and adjacent to them as 4: 3 find the given angles.

Let the angle AOC = X0, then the angle A1O1C1 = 3 * X, since their values, by condition, relate as 1/3.

Then the adjacent angle COB = 180 – X, and the angle C1O1B1 = 180 – 3 * X.

Then, by condition, (180 – 3 * X) / (180 – X) = 3/4.

720 – 12 * X = 540 – 3 * X.

9 * X = 180.

X = 180/9 = 20.

Angle AOC = 20.

Then A1O1C1 = 20 * 3 = 60.

Adjacent corners will be equal:

COB = 180 – 20 = 160.

С1О1В1 = 180 – 60 = 120.

Answer: The angles are 20, 60, their adjacent angles are 160, 120.