A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.
Since both vertical angles are the same, both measure 38º.
Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.
The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.