Chord AB subtracts an arc equal to 115 degrees, and chord AC subtracts an arc of 43 degrees. Find the corner BAC.

There are two options for the location of points A, B, C on a circle.
In the first version, the chords AB and BC are located on opposite sides of point A.
Then the degree measure of the arc BC will be equal to: BC = 360 – AB – AC = 360 – 115 – 43 = 202.
Then the angle BAC = BC / 2 = 202/2 = 101.
In the second case, chords AB and AC are located on the same side of point A.
Then the degree measure of the arc BC will be equal to: BC = AB – AC = 115 – 43 = 72.
Then the angle BAC = BC / 2 = 72/2 = 36.
Answer: The angle of YOU is 101 or 36.