At the intersection of two straight lines, 4 undeveloped angles are formed.

At the intersection of two straight lines, 4 undeveloped angles are formed. Find these angles if the difference between two of them is 38 degrees.

Let the value of the angle AOD = X0, then, by condition, the angle AOC = (X + 38) 0.

The AOD angle is adjacent to the AOC angle, the sum of which is 180.

Then X + (X + 38) = 180.

2 * X = 180 – 38 = 142.

X = AOD = 142/2 – 71.

Angle AOC = 180 – 71 = 109.

Angle COB = AOD = 71 as vertical angles at the intersection of straight lines AB and CD.

Angle BOD = AOC = 109 as well as vertical angles.

Answer: The angles formed are 71, 109, 71, 109.